How about looking at
since they are the industry group that is pretty much the standard in the instrumentation world.
Our dumb diesel and gas engines use thermocouples in the exhaust systems, and frequently in the engine temperature monitoring circuits as well.
I agree, technically you can't calibrate a TC, however, I firmly believe some effort should be made to perform a loop check verification if the TC is used for a critical process, like controlling a process where an overheat could lead to equipment damage or harm to people.
When I did lots of large engine commissioning, the TC circuits had the greatest number of problems, connection issues, cold junctions, reversed polarity, wiring damage, and wrong type installed or selected for the reading device.
Your check should assure the desired temperature measuring range is as accurate as you need, is linear and has the correct hysterisis, if it's important. If not, plug it in and go, reads close you're good, at least until something goes wrong and the AHJ asks how you verified it's proper operation.
Hope that helps,
Mike L.