KW T370 coolant temp gauge sensor location

Hello. I have a 2010 Kenworth T370 with a paccar px-8 engine. I am trying to find the location of the coolant sensor for the gauge in the cab. I purchased the sensor from Kenworth but they did not have any diagrams or know where its located. The problem is, this engine has many different coolant sensors for different things, one sensor is for the engine fan, one is for the ECM, etc. these sensors I found, they are on the passenger side of the engine near the front. But I can't find any other sensors for coolant. Where else should I look?
The issue I am trying to fix is the coolant gauge will show max temp (250F) even after starting the truck that was sitting overnight. Anyway, this issue been going on for month now. Its either a bad sensor or a wiring issue.