A tire tread comprising a rubber composition based on at least: (i) a diene elastomer; (ii) more than 60 phr of a reinforcing inorganic filler; (iii) between 2 and 15 phr of a coupling agent; and (iv) between 4 and 12 phr of a bismaleimide compound. This tread has, after mechanical running-in of the tire comprising it, a rigidity gradient which increases radially from the surface towards the inside of the tread, imparting to the tire an improved compromise of grip/behavior properties. Use of such a tread for the manufacturing or recapping of tires. Tires comprising such a tread.