Real Temp - New temp program for Intel Core processors

[TL1000S]

Is your Core1 truly stuck or is it just reporting high idle temperatures like my E8400 does? Without a lot of detective work it's hard to say which one of your sensors has which problem but it's possible that neither of them can be used for accurate idle temperatures no matter what TjMax or software you use.

According to your own tips/documentation here it should be stuck.
(Run Test sensors indicates this).

I have numerous runs for stability tests at various combos VCore/Clocks, and the second core (1) shows *never* below 38 c at idle or low to mid load. (OCCT's graphs are good for documentation purposes).
It is only after some real hard stresstesting it will follow core0 from 38 to eg 55-60 (depending on VCore).
If that's not a sign of a stuck sensor there is no such thing as a stuck sensor.