solved i just comment below line of my code:
//#define MY_CONTROLLER_IP_ADDRESS 192,168,1,6
//#define MY_MAC_ADDRESS 0xDE, 0xAD, 0xBE, 0xEF, 0xFE, 0xED
and delete mysensors.pickle1 file .
thanks @mfalkvidd for your trial to support me.

solved i just comment below line of my code:
//#define MY_CONTROLLER_IP_ADDRESS 192,168,1,6
//#define MY_MAC_ADDRESS 0xDE, 0xAD, 0xBE, 0xEF, 0xFE, 0xED
and delete mysensors.pickle1 file .
thanks @mfalkvidd for your trial to support me.

@mfalkvidd below is modified sketch as you mentioned :
/**

• The MySensors Arduino library handles the wireless radio link and protocol
• between your home built sensors/actuators and HA controller of choice.
• The sensors forms a self healing radio network with optional repeaters. Each
• repeater and gateway builds a routing tables in EEPROM which keeps track of the
• network topology allowing messages to be routed to nodes.
• Created by Henrik Ekblad henrik.ekblad@mysensors.org
• Copyright (C) 2013-2015 Sensnology AB
• Full contributor list: https://github.com/mysensors/Arduino/graphs/contributors
• Documentation: http://www.mysensors.org
• Support Forum: http://forum.mysensors.org
• This program is free software; you can redistribute it and/or
• modify it under the terms of the GNU General Public License
• version 2 as published by the Free Software Foundation.

---

• REVISION HISTORY
• Version 1.0 - Henrik EKblad
• Contribution by a-lurker and Anticimex,
• Contribution by Norbert Truchsess norbert.truchsess@t-online.de
• Contribution by Tomas Hozza thozza@gmail.com
• DESCRIPTION
• The EthernetGateway sends data received from sensors to the ethernet link.
• The gateway also accepts input on ethernet interface, which is then sent out to the radio network.
• The GW code is designed for Arduino 328p / 16MHz. ATmega168 does not have enough memory to run this program.
• LED purposes:
• • To use the feature, uncomment MY_DEFAULT_xxx_LED_PIN in the sketch below
• • RX (green) - blink fast on radio message received. In inclusion mode will blink fast only on presentation received
• • TX (yellow) - blink fast on radio message transmitted. In inclusion mode will blink slowly
• • ERR (red) - fast blink on error during transmission error or receive crc error
• See http://www.mysensors.org/build/ethernet_gateway for wiring instructions.

*/

// Enable debug prints to serial monitor
#define MY_DEBUG

// Enable and select radio type attached
//#define MY_RADIO_NRF24
//#define MY_RADIO_NRF5_ESB
//#define MY_RADIO_RFM69
//#define MY_RADIO_RFM95

// Enable gateway ethernet module type
#define MY_GATEWAY_W5100

// W5100 Ethernet module SPI enable (optional if using a shield/module that manages SPI_EN signal)
//#define MY_W5100_SPI_EN 4

// Enable Soft SPI for NRF radio (note different radio wiring is required)
// The W5100 ethernet module seems to have a hard time co-operate with
// radio on the same spi bus.
//#if !defined(MY_W5100_SPI_EN) && !defined(ARDUINO_ARCH_SAMD)
//#define MY_SOFTSPI
//#define MY_SOFT_SPI_SCK_PIN 14
//#define MY_SOFT_SPI_MISO_PIN 16
//#define MY_SOFT_SPI_MOSI_PIN 15
//#endif

// When W5100 is connected we have to move CE/CSN pins for NRF radio
//#ifndef MY_RF24_CE_PIN
//#define MY_RF24_CE_PIN 5
//#endif
//#ifndef MY_RF24_CS_PIN
//#define MY_RF24_CS_PIN 6
//#endif

// Enable UDP communication
//#define MY_USE_UDP // If using UDP you need to set MY_CONTROLLER_IP_ADDRESS below

// Enable MY_IP_ADDRESS here if you want a static ip address (no DHCP)
#define MY_IP_ADDRESS 192,168,1,10

// If using static ip you can define Gateway and Subnet address as well
#define MY_IP_GATEWAY_ADDRESS 192,168,1,1
#define MY_IP_SUBNET_ADDRESS 255,255,255,0

// Renewal period if using DHCP
//#define MY_IP_RENEWAL_INTERVAL 60000

// The port to keep open on node server mode / or port to contact in client mode
#define MY_PORT 5003

// Controller ip address. Enables client mode (default is "server" mode).
// Also enable this if MY_USE_UDP is used and you want sensor data sent somewhere.
#define MY_CONTROLLER_IP_ADDRESS 192,168,1,6

// The MAC address can be anything you want but should be unique on your network.
// Newer boards have a MAC address printed on the underside of the PCB, which you can (optionally) use.
// Note that most of the Arduino examples use "DEAD BEEF FEED" for the MAC address.
#define MY_MAC_ADDRESS 0xDE, 0xAD, 0xBE, 0xEF, 0xFE, 0xED

// Enable inclusion mode
//#define MY_INCLUSION_MODE_FEATURE
// Enable Inclusion mode button on gateway
//#define MY_INCLUSION_BUTTON_FEATURE
// Set inclusion mode duration (in seconds)
//#define MY_INCLUSION_MODE_DURATION 60
// Digital pin used for inclusion mode button
//#define MY_INCLUSION_MODE_BUTTON_PIN 3

// Set blinking period
#define MY_DEFAULT_LED_BLINK_PERIOD 300

// Flash leds on rx/tx/err
// Uncomment to override default HW configurations
//#define MY_DEFAULT_ERR_LED_PIN 7 // Error led pin
//#define MY_DEFAULT_RX_LED_PIN 8 // Receive led pin
//#define MY_DEFAULT_TX_LED_PIN 9 // Transmit led pin

#if defined(MY_USE_UDP)
#include <EthernetUdp.h>
#endif
#include <Ethernet.h>
#include <MySensors.h>

void setup()
{
// Setup locally attached sensors
}

void presentation()
{
// Present locally attached sensors here
}

void loop()
{
// Send locally attached sensors data here
}

and next are the logs from serial monitor :
0 MCO:BGN:INIT GW,CP=R-NGA---,VER=2.3.0
0 MCO:BGN:INIT GW,CP=R-NGA---,VER=2.3.0
564 GWT:TIN:IP=192.168.1.10
1568 !GWT:TIN:ETH FAIL
1570 MCO:BGN:STP
1572 MCO:REG:NOT NEEDED
1574 MCO:BGN:INIT OK,TSP=NA
1579 !GWT:TSA:ETH FAIL
1584 !GWT:TSA:ETH FAIL
1589 !GWT:TSA:ETH FAIL
1593 !GWT:TSA:ETH FAIL
1598 !GWT:TSA:ETH FAIL
1603 !GWT:TSA:ETH FAIL
1608 !GWT:TSA:ETH FAIL (this keep repeating)

actually now i can ping to the gateway but still get this from home-assistant logs:

Dec 01 15:33:09 raspberrypi hass[291]: 2018-12-01 15:33:09 INFO (MainThread) [mysensors.gateway_tcp] Waiting 10.0 secs before trying to connect again
Dec 01 15:33:19 raspberrypi hass[291]: 2018-12-01 15:33:19 INFO (MainThread) [mysensors.gateway_tcp] Trying to connect to ('192.168.1.10', 5003)
Dec 01 15:33:29 raspberrypi hass[291]: 2018-12-01 15:33:29 ERROR (MainThread) [mysensors.gateway_tcp] Connecting to socket timed out for ('192.168.1.10', 5003)
Dec 01 15:33:29 raspberrypi hass[291]: 2018-12-01 15:33:29 INFO (MainThread) [mysensors.gateway_tcp] Waiting 10.0 secs before trying to connect again
Dec 01 15:33:39 raspberrypi hass[291]: 2018-12-01 15:33:39 INFO (MainThread) [mysensors.gateway_tcp] Trying to connect to ('192.168.1.10', 5003)
Dec 01 15:33:49 raspberrypi hass[291]: 2018-12-01 15:33:49 ERROR (MainThread) [mysensors.gateway_tcp] Connecting to socket timed out for ('192.168.1.10', 5003)
Dec 01 15:33:49 raspberrypi hass[291]: 2018-12-01 15:33:49 INFO (MainThread) [mysensors.gateway_tcp] Waiting 10.0 secs before trying to connect again
Dec 01 15:33:59 raspberrypi hass[291]: 2018-12-01 15:33:59 INFO (MainThread) [mysensors.gateway_tcp] Trying to connect to ('192.168.1.10', 5003)
Dec 01 15:34:09 raspberrypi hass[291]: 2018-12-01 15:34:09 ERROR (MainThread) [mysensors.gateway_tcp] Connecting to socket timed out for ('192.168.1.10', 5003)
Dec 01 15:34:09 raspberrypi hass[291]: 2018-12-01 15:34:09 INFO (MainThread) [mysensors.gateway_tcp] Waiting 10.0 secs before trying to connect again
Dec 01 15:34:19 raspberrypi hass[291]: 2018-12-01 15:34:19 INFO (MainThread) [mysensors.gateway_tcp] Trying to connect to ('192.168.1.10', 5003)
Dec 01 15:34:29 raspberrypi hass[291]: 2018-12-01 15:34:29 ERROR (MainThread) [mysensors.gateway_tcp] Connecting to socket timed out for ('192.168.1.10', 5003)
Dec 01 15:34:29 raspberrypi hass[291]: 2018-12-01 15:34:29 INFO (MainThread) [mysensors.gateway_tcp] Waiting 10.0 secs before trying to connect again

i also checked the tcp port and found:
tcp 0 1 192.168.1.6:55916 192.168.1.10:5003 SYN_SENT 291/python3
which seems that it waits a respond from gateway in order to establish a connection

Thanks @mfalkvidd i'll check but i also wonder if i can establish and initialize a connection between controller and Ethernet gateway first then attach the sensors and actuators as from home-assistant logs it seems that the connection couldn't establish is it because what you mention.
very thanks again for your support.

I read a lot about Ethernet gateway problem with home assistant but i can't catch the reason for my problem as i get a different logs from both gateway and home-assistant i want to establish a connection between gateway and home-assistant using default Ethernet sketch and below configuration in home-assistant:
mysensors:
gateways:
- device: '192.168.1.10'
tcp_port: 5003
persistence_file: '/home/homeassistant/.homeassistant/mysensors.json'
persistence: true
optimistic: false
below are the logs from home-assistant:
2018-11-29 21:12:39 ERROR (MainThread) [mysensors.gateway_tcp] Failed to connect to socket at ('192.168.1.10', 5003)
2018-11-29 21:12:52 ERROR (MainThread) [mysensors.gateway_tcp] Failed to connect to socket at ('192.168.1.10', 5003)
2018-11-29 21:13:05 ERROR (MainThread) [mysensors.gateway_tcp] Failed to connect to socket at ('192.168.1.10', 5003)
2018-11-29 21:13:19 ERROR (MainThread) [mysensors.gateway_tcp] Failed to connect to socket at ('192.168.1.10', 5003)
2018-11-29 21:13:32 ERROR (MainThread) [mysensors.gateway_tcp] Failed to connect to socket at ('192.168.1.10', 5003)
also some times i get connection to socket time out.

below are the logs from serial monitor which there are some of them unknown in Log Parser:

0 MCO:BGN:INIT GW,CP=RNNGA---,VER=2.3.0
3 TSM:INIT
4 TSF:WUR:MS=0
10 !TSM:INIT:TSP FAIL
12 TSM:FAIL:CNT=1
14 TSM:FAIL:DIS
15 TSF:TDI:TSL
10018 TSM:FAIL:RE-INIT
10020 TSM:INIT
10027 !TSM:INIT:TSP FAIL
10030 TSM:FAIL:CNT=2
10031 TSM:FAIL:DIS
10033 TSF:TDI:TSL
20036 TSM:FAIL:RE-INIT
20038 TSM:INIT