[bestgenman]

Dan, sorry ,l I missed your last sentence about the test light.  I think you might have a Kohler set but want your input.  The power to the solenoid will stop  (or light go out) if the engine slows down.  Try this,  from a good source of 12VDC, try powering the solenoid directly with the engine wiring disconnected to the red wire of the solenoid.  The air box heater relay mounted along the frame rail usually will have plenty of power, use your test light to find the wire with +12VDC, it will be on a 5/16" stud.  Use this to feed the red wire (it's best to have a 5 or 10 amp fuse in this wire), the black is already connected to neg. and push the plunger in , if it stays in your solenoid is working,  leave it connected for (you said 6 minutes and it quits) for 10 or 20 minutes.  The engine is not running in this test, we are testing the solenoid. Let me know how this works.