The transmitting and receiving antenna comprises an array of feeds clustered by groups of four adjacent feeds along two directions X, Y of a plane, each feed comprising two transmitting ports and two receiving ports with orthogonal polarizations. For each group of four adjacent feeds, the first, or the second, transmitting ports, respectively the first, or the second, receiving ports, corresponding to a same pair of frequency and polarization values are connected two-by-two in the direction X then two-by-two in the direction Y, the four interconnected transmitting ports forming a transmitting beam and the four interconnected receiving ports forming a receiving beam.