My truck does the same depending on how hard I am turning. For me, it is the torsen style LSD (anti-spin) locking up because the tires are spinning at different rates so it locks up the worm gear(like it should). Torsen LSD's generally abruptly lock up as opposed to the gradual lock up of clutch style LSD's. It does not do it in my brothers truck which is like my 2014 2500, but without the anti-spin diff. If I turn too sharp and too fast unloaded, it will chirp the back tires which is more pronounced due to my oversized tires.