Recently [16], we have proposed using faster than Nyquist (FTN) signaling to achieve transmission over continuous-time broadcast channels and shown that it can achieve the capacity region of the two-user Gaussian broadcast channel. Benefits of FTN broadcasting include separate encoding and explicit transmission of all users' data, i.e., unlike the previously proposed broadcast coding schemes, no joint encoding is needed. This paper presents a design of a Turbo-coded broadcast transmitter based on the FTN signaling. The proposed receiver architecture has a low implementation complexity and is based on Turbo decoding and successive cancellation of FTN-induced intersymbol interference. The presented simulation results indicate that the designed FTN broadcast architecture can be superior to the time-sharing broadcasting used in practice, and shows the potential to perform close to the capacity boundaries of the Gaussian broadcast channel.