Kohler runs then dies

[Kolher]

Kohler CV465 15 hp starts and runs fine for several minutes, then dies. let it cool for a few minutes, restarts and runs, then dies. Lapped the valves, new plugs, new coil, new lifters, new gas filter. Still no change. Thoughts?

 

[Rivets]

The next time it happens, immediately spray some carb cleaner into the air horn and see if it will start again. If it starts, but then dies, you have a problem with the fuel system.