If it was black smoke its soot not burning fully, diesel that hasn't combusted very well at all also appears grey, but its thick heavy smoke and it stinks!
Although diesels use vacuum pumps to generate vacuum for brakes and EGR operation they still have a vacuum cylinder, this is were brake fluid would accumulate.
Basically set all your levels to the line and whatever ones going down is what you're burning. If nothing moves its diesel not burning correctly causing the smoke.
Just a thought, but I doubt there is, you don't have a pre heater on that vehicle do you? It would have been an option probably. When it gets cold enough, like at the moment! The pre heater burns diesel and heats the coolant up so you're toasty inside. The pre heater dumps the exhaust fumes straight out underneath because it can't go into the exhaust system. The fumes produced are thick and grey!!! But like I say you would need to have one fitted, and that wouldn't cause any running faults.