The present invention is directed to a self-supporting tire. More specifically, the tire has a carcass, a tread, and a belt reinforcing structure located radially outward of the carcass and radially inward of the tread. The carcass is comprised of a reinforcing ply structure extending between a pair of bead portions and having a geodesic configuration. The tire further includes a pair of sidewalls, each sidewall located radially outward of one of the pair of bead portions, and a pair of inserts located in each sidewall. A first insert and second insert are located between the innerliner and the ply.