A Pb-doped Bi-based superconductor, prepared by the additional doping of F, shows the critical temperature of 122 K, which is the highest temperature among those so far reported. The specimens are sintered in two sintering stages. The effect of F doping is to get a considerable amount of Ca2PbO4 as an intermediate phase after the first sintering, which eventually converts to Ca2CuO3 and then enhances the formation of the 2223 phase. The process may restrain the volatility of Pb as well as F and promote the incorporation of both elements in the structure of the 2223 phase.