Résumé : In a high-statistics experiment (200 events/nanobarn) performed at the 70 GeV IHEP accelerator, a new dipion resonance has been observed in π-p collisions at 38 GeV/c momentum. The gamma-rays in reaction π-p → M0n, M0 → π0π0 → 4γ have been detected in the hodoscope spectrometer GAMS-2000. The new meson, r(2510), has a mass (2510±30) MeV/c2, a width (240±60) MeV/c2 and spin-parity J PC=6++. The production cross-section of the f, h and r mesons decreases exponentially with spin like exp [-0.9 J]. © 1984 Società Italiana di Fisica.