Extension of coherent response time is a desired goal in the field of all-optical information processing implemented in classical and quantum ways. Here we demonstrate how spin-dependent stimulated photon echo can be used to extend decay time of coherent signal from exciton ensemble. We experimentally studied photon echoes from excitons in a model single InGaAs/GaAs quantum well subject to transverse magnetic field. Field-induced quantum beats lead to oscillation of exciton population between bright and long-lived dark excitons. As a result, photon echo decays much longer with decay time attaining dark exciton lifetime in case of non-oscillatory regime.