If you use 4 quarts of a 50 grade synthetic oil in 5000 miles, you have a mechanical problem that no oil is going to remedy.
If you are going to have a rebuild done anytime soon, then I would consider a 10W-40 High Mileage oil such as Valvoline MaxLife synthetic blend. If you are just going to let the engine go off into the sunset, I would consider Rotella T or Delo.
Before I get nailed, I am not saying Rotella T or Delo is not a top line oil. I am saying that in an engine that "I SUSPECT" has excessive cylinder/ring wear and valve guide wear, an oil with an additive package for diesel use "MIGHT" survive suspected fuel dilution/blow-by a little longer and still have a good cSt, good anti wear package, and not cost a fortune if you are going to 9 or 10 quarts total for your OCI. You will sacrifice FM, but, at this stage I doubt that would be terribly serious.