These smoke signals are symptoms of a head gasket problem. No
combination of fuel and oil makes white smoke. White smoke upon start up
is from coolant that's leaked into the exhaust being burned by the
exhaust heat. Black soot could be from oil seeping into a cylinder or
misfiring due to a wet plug or over fueling. Any oil in the coolant and
or coolant in the oil?
Suggest you remove and inspect the spark plugs after the engine has
stood over night. One or two may be wet with coolant and or oil.
If nothing found, briefly crank the engine without the sparkplugs
installed, then inspect the spark plugs' holes for expelled fluid(s).
If still nothing is found a compression test is the next diagnostic step
on this path short of removing the cylinderhead.
It's not what you wanted to hear but may be the reason for the smoke.