Multi-Carrier Phase-Coded Signal (MCPC) has caught much attention of researchers recently. The flexible structure enables its balanced and adjustable performance, while enhancing the demand of parameter designing. Current designing methods can hardly achieve satisfied ambiguity diagram and envelope control simultaneity, and they mostly perform the research with less sub carriers. This research proposed a random shifted phase-coded MCPC signal, whose ambiguity diagram is ideal thumbtack shaped. To deal with its fluctuating envelope time-frequency clipping iteration was brought forward, after which optimizing method was used to further reduce the side lobes of auto cross function (ACF). Simulation results show that the designed signal keeps ideal ambiguity diagram and low PMEPR at the same time, while maintaining good ACF on sub carriers. Compared with reported MCPC at present, this signal is more suitable for practical use in radar.