I'm running 33" (305/70's)tires with 16" wheels and both Centermatics rep and the tire dealer that mounted the tires said to remove the weights. I was told that tire changes as it flexes,wears, mud/snow collects so adding the weights would be useless. I have almost 20,000 and have not had one problem yet. Even though I own a SD, I used to have a slight vibration in the steering wheel before the CM and I used to have the alignment checked once a year before cross country trips. Now the vibration is gone, the truck tracks straight, minimal tire wear on the edges, and the tires are warm and not hot like they were in the summer time out here in Vegas.
Call the rep, they will tell you the same thing. The one thing I would suggest is get a wire brush and before you mount, clean the hubs as best as possible and spin the wheel before driving just to make sure they do not rub the calipers.
Well worth the money