Diesel Bombers - 7.3 need some help

Here's my problem the truck runs good actually .when sitting in neutral and I Rev it up and when it comes back down to idle it starts shaking and romping a little at idle but goes away after a couple of seconds . The gas tank has been completely redone new fuel pump new fuel filters full tank . I have a bully dog tuner on it and when I set it to the highest setting I don't get any Blacksmoke also seems to have more power at half throttle then full throttle. Also my service engine light comes on and off seems to come on when I give it gas and goes away when I let off the gas . the bully dog also give me a P 1316 code. What I don't understand is the truck runs amazing at half throttle but soon as I Floor it's like it's on cruse control no gain but definitely much faster at half throttle, and with the bully dog turn on the highest setting I should have black smoke coming out, sometimes I do get Blacksmoke but most of the time I don't get any, not that I want it to smoke I just know when it's at a high setting it should be pushing up some black smoke. Any help would be great thank you very much