Update: Put 2 qt of diesel in the oil. Ran it until warm. The smoke still got more pronounced as the engine got warmer. There was no oil pressure in the right (passenger) side plug. There did seem to be pressure and oil at the rockers because plenty of oil came out from underneath the valve covers. Upon noticing that leak, I shut it down and cleaned up. Aside from checking the internal passage from the back passenger side area to underneath the head (the line under the side cover) what can I do? Should I prepare for a complete rebuild? Or get some compression numbers first? What could be causing this?
