Just thinking out loud here...So does this sound correct?... it starts right up and is running ok in open loop mode ... warms up after about 10 -15 mins...Coolant temp sensor tells ECM he is ready to run in closed loop mode...and then by your description, motor shuts down as if ECM told ASD relay to kill motor, or ECM lost ignition sense...and it leaves behind a coolant sensor DTC code in memory...
Or maybe it was just a coincidence that it died right around the time it would switch from open to closed loop...
Need more data...can the problem be reproduced if you clear the codes, cool it down, and run it again?
I hope your sensor check/test shows up something for you...maybe you can read the sensor voltage as it warms up to see what its sending back to the ECM...
McQue