It is a low line code.... which is exactly what you just said.
My trans is also tuned but essentially my tune just ups the line pressure as if the trans were always in tow/haul mode, increases shift firmness for less clutch slippage (takes out some of the fluid coupling), moves the shift points @ WOT to 3k rpms, and has a 6th gear unlock and downshift to minimize the torque that hits it.
@bp73 set the HP level on the tune back to stock HP level. You don't have to physically put the truck back to stock. Even a 45HP tune could be over 100 lb.ft more torque. These transmissions do not like ANY HP/TQ level higher than stock levels. That could still be part of your issue. I run mine on the stock HP tune, and always have. Knock on wood, but out of 3 "lightweight" trucks with 68RFEs, none of them have ever given me an issue and have had multiple tunes on them.