Truck: 2012 Silverado Crew Cab Z71 5.3L 7" FTS lift 35" Toyo

Problem: noticed this evening while turning from a stop feels like front end shakes. I looked at everything and couldn't see any noticeable problems. It was raining out and I'm hoping its just something with limited slip.

Has anyone had similar problems? Or heard of similar problems? All help would be greatly appreciated.