A previously unknown insertion of carbodiimides into sulfonimides enables the first one-step, two-atom expansion of the saccharin 5-membered ring into a 7-membered benzo[1,2,4]thiadiazepine, and a two-atom chain extension of a non-cyclic sulfonimide. This reaction is enhanced by copper salts, which allow it to be conducted mechanochemically, in a solvent-free manner.