Since you have lingering smoke, it's going to be fuel or oil. Turbo issues could cause both.
1. If your turbo vanes are sticking, you could be overfueling causing smoke.
2. If your main seal is blown in the turbo, oil could be leaking into exhaust and smoking. This seal can leak inside or outside.
3. If a turbo boot has blown a hole, it will cause smoke under load.
3. An injector could be overfueling or FICM causing it to overfuel.
Since you have an EBP code, start there. The turbo vanes could be commanded to operate incorrectly due to that sensor. Some say that the 6.0 startegy doesnt use the EBP, but correcting it has fixed many trucks.
The EBP sensing tube is connected to the driver side exhaust manifold and is routed to the front of the engine. The sensor is mounted just under the fuel pressure regulator (fuel filter housing). Remove the tube and make sure its clean to start. If its clean, change the sensor.
To check the turbo, pull the intake tube (from the filter) and the exhaust downpipe from the turbo and look for excessive oil. You may even see oil on the outside of the turbo body, between the compressor and turbine halves. If you decide it is the seal, buy a turbo rebuild kit. This is a very easy process and brings the turbo back to new function. (Unless there is wheel damage)
If its not one of the above, its time to check FICM voltage and power balance the injectors.
Get in there and get familiar...6.0 engines are like needy women...they'll create lots of drama to keep their man on top of em.
Good luck!