STOP ENGINE light. N14 Celect. Most common causes?

I know it is difficult to near impossible to diagnose an engine from a bit of written text, so I will ask in general, what are some of the most common causes of the stop engine light to light up and the engine to die when the light does so, on an N14 Cummins Celect in a 93 Pete 379?

Here are some details on my situation, in case someone recognizes the issue or wants to take en educated guess.
I just aquired the truck a few days ago, so I have no history with it, nor any real knowledge of it's maintenance and repair. But here is what happened today. I started it to move it, then decided to let it run with the idle bumped up a bit to charge the batteries. About 3 minutes of run time and it died. Would not start. Let it sit about 5 minutes and tried again. It fired right up. So this time I stayed in the truck with my foot on the pedal to run high idle. About 2 minutes in, the stop engine light comes on and the engine dies right then. Will not start.

I do not know the condition of the fuel filters, though likely need changed. I do have plenty fuel in the tank and though not real fresh I'm sure, it does not appear to be too awful old. But the stop engine light coincides with the engine dieing.

Any ideas or history with the stop engine light?

Thanks.

 

Thank you for the replies. I shall check the coolant level sensor or just replace it. The engine had fine oil pressure and had not run long enough to get warm. But low coolant sensor makes a lot of sense. I have had these sensors on other equipment give issues.
Thanks again.

 

It does actually have a diagnostics switch. That's interesting that you mention this. I did not know about the code flashing part, but a friend stopped by and told me to unhook the batteries for a few seconds and reconnect. That got it to start. He said he had heard that disconnect was supposed to clear codes for a minute or two, or until they show back up. I shall try the code flashing idea tomorrow.

One other thing, the coolant level is fine, but the sensor, which I think is supposed to be in the over flow tank?, is not there. The wire is cable tied to the fan engage line. So no sensor even on the coolant level.