You will need spacers.
My current setup is a General Grabber AT2 245/70R17 coming in at 30.5" diameter, and 9.65" width, my specific tires are 8" tread width. I get less than 1/4" clearance from my ball joint, the tread height is just slightly above the ball joint level but the tread is just narrow enough to clear the edge.
Your tires in question, 265/70R16 come in at 30.61" diameter and 10.43" width. The diameter is okay, but the width will get you. If i added even just a half inch more tread width to my tire i would have severe contact.
Heres a visual, the tread height is just above level with the ball joint but the width allows it to clear.