My pilot light goes out quite frequently can the flamepilot lightBE adjusted, if so how?

clean burner tubes

When the main burner turns off, does it make a whoosh or pop? If so, this would be the issue causing the pilot to be disturbed. And have you tried to adjust the pilot/thermopile strength, if possible? A stronger pilot may help. Now if the main burner slowly goes out, and the pilot also slowly goes out, and also slow to ignite, and you've replaced about everything else, it may be the gas valve itself that has/is giving up. Gas is impure and causes a sticky residue. And if the main burner is "slow to act", this tells me the piston that's inside the valve is slowly opening or closing, and may be the reason the pilot is acting up. Make sure you check the outlet to your flue pipe also for obstructions. If the unit doesn't vent properly it can have more heat in the flue. That heat can have a downward rush when the burner goes out, kinda like forcing air through a clogged tube. And when you quit forcing the air, some of it comes back at you. Before condemning the valve try to check all else as you have done with the thermopile and such. Please work safe and I hope this helps.

There are many reasons why pilot light can go out, from bad thermocouple to low air supply to dirty combustion parts, clogged orifice, low gas pressure, etc.
Copy following link and read information available for troubleshooting pilot outage.
http://waterheatertimer.org/How-to-troubleshoot-gas-water-heater.html#pilot

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

Chances are that it is the thermocouple. Ive seen many on their way to going bad that held the pilot valve open so it kept the pilot lit, but after a couple minutes of burning, the vent gases pull the flame away from the thermocouple just long enough for it to quit. You could replace it , or try to adjust the pilot flame orifice in the direction of the thermocouple so that it has better contact with the thermocouple.

If yours has an ODS pilot light, dust can get into the safety portion causing it to shut down thinking the oxygen is too low in the room. I use rust buster to flush the pilot without harming it. It has a long spout on it and that makes it easy to reach inside the heater.

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Hi try cleaning the pilot light could have some dirt in it or its the thermocouple

Check the following:

See if your heater has a pilot gas adjustment valve. It should be on the gas control valve somewhere. Not all heaters have these. It will be a screw on the valve that can be turned.

Make sure the thermocouple sensing bulb is squarely in the pilot flame and also check that the fitting where the other end of the thermocouple connects to the main gas valve is tight.

Check the pilot gas orifice (where the pilot gas comes out) for carbon build up - you may need to remove the pilot gas line and thermocouple assembly to get to this. This problem is pretty common.

Check the gas pressure to the heater. Run the hot water in the dwelling until the hot water heater starts. Check the flame on the main burner and see what color it is - it should be blue with possibly some yellow-tipped flames. If not, there could be a problem with the gas pressure at the heater or venting. If the heater has a gas pressure regulator, it may be out of adjustment or defective.

Finally, and this isn't very common, the pilot light can be extinguished if there is a draft problem, usually associated with an issue with the flue pipe venting system for the heater or another nearby gas consuming appliance.

does it light then immediately go out? if yes, usually you have to hold in a button to allow gas to flow while you light the pilot, and hold this button until the therm0-couple is heated with the pilot flame. If the thermo-couple is not sufficiently heated and you let go of this button, the pilot light will go out as the safety circuit thinks there's no flame and unburned gas is entering the oven.

The other thing you could do is adjust the height of the pilot flame... there's usually an adjustment screw near the button described above which will allow you to adjust the height of the flame. Make the flame just big enough to guarantee that it keeps the thermo-couple hot AND that it can light the oven without being blown out.

Good luck.