Find out if the turbo oil feed oil restrictor is in place, and it's the right size. If it wasn't in place I'd think there would be a LOT more smoking and the wrong size (too big) can make it smoke too.
Find out if the crank/rod clearances are to OEM spec or bigger. If not, you may need to swap the correct OEM oil pump size in there. Running a larger oil pump in an OEM toleranced engine you can overwhelm the pump bypass (since the oil has nowhere to go) creating a significant increase in pressure. This can have the same effect as the wrong restrictor, pushing oil past the turbo seals.
If the engine wasn't built with higher oil flow requirements it should NOT have a larger pump installed. We see this all the time. People get caught up in the bigger is better mentality when building an engine, but 95% of the time a larger oil pump is more harm than good.