The invention relates to a binaural hearing instrument and an earpiece. The binaural hearing instrument and an earpiece for the binaural hearing instrument are enabled for broadband wireless data transmission to a further binaural hearing instrument. Wireless broadband binaural data transmission with high bandwidth and low resource requirement is afforded, while the devices can be manufactured easily and inexpensively. The hearing instrument has a housing, a signal processor, a receiver and an antenna for binaural data transmission. The housing can be worn at least partly in an auditory canal. A distal section houses the signal processor and the receiver. A proximal section adjacent to the eardrum and separated spatially from the proximal section houses the antenna. The antenna is disposed between the receiver and the sound outlet as far in the auditory canal as possible. The distance between the antennas of the two binaural hearing instruments is reduced by 1 to 2cm. regulated minimum distance is guaranteed between the antennas and the earpiece and th hybrid and compared with conventional positioning and the bit error rate is significantly improved.