With the truck off and not connected to shoreline turn several lights on inside to put a load on the battery. If it is cold turn the heater on and the fan will draw quite a bit of current.
Now take your voltage readings after ten minutes. Then start the truck and check again.
Those 13 + volts are surface charges of recently fully charged batteries. Doing the above test will give you some good insight.
H/R Endeavor 2008
Ford F150 toad >Full Timers
Certified Senior Electronic Technician, Telecommunications Engineer, Telecommunications repair Service Center Owner, Original owner HR 2008