Could be your truck was "regenerating", i.e., cleaning the Diesel Particulate Filter (DPF), a little gift from the EPA. You normally don't notice regenerations if you're driving, but it is quite audible when you stop and have a window down. When the regen occurs you will see your fuel mileage drop dramatically. The regeneration requires speeds of 45 mph or more so will shut down after a few minutes of idle.
One other thing, you shouldn't idle your diesel except briefly after heavy turbo work and then only 3 minutes or so. Manufactures began recommending against idling in the late 1990's. (See your Owner's Manual.) Excessive idling of today's diesels can actually lead to engine failures because of the DPF's and the EGR's that manufactures put on them in order to meet EPA standards. These things clog-up with soot, which causes excess exhaust back pressure. Good news is if your F350 detects to much back pressure it will shut down to prevent catastrophic engine failure. Bad news, it may shut down where you don't want it to, like the middle of no where, and more than likely you'll have to replace the DPF if that occurs ---- big bucks. Clogged EGR's on pre 2011 Ford Navistar diesels have resulted in engine replacements.