In a Pt/Co/Ir/Co/Pt synthetic ferrimagnet with perpendicular magnetic anisotropy, stochastically occurring peak of magnetic moment was detected in the rapidly increasing magnetic field of 16 kOe / s sweep rate at T = 300 K. The peak arises at the coinciding switching fields between three equilibrium magnetization states. The reason of the peak is nucleation of the nonequilibrium magnetic domains in the vicinity of structural defects of the Co film, where diminished activation energy of magnetic nucleation takes place.