The ternary pnictides Rb4Zn7As7 and Rb7Mn12Sb12 and their quaternary derivatives Rb4Mn3.5Zn3.5Sb7 and Rb7Mn4Cd8Sb12 have been prepared by reactions of the elements at 600 degrees C. They crystallize in two new structure types: orthorhombic Rb4Zn7As7-type (space group Cmcm, Z = 4; a = 4.1883(4) angstrom, b = 24.844(2) angstrom, c = 17.6056(17) angstrom for Rb4Zn7As7; a = 4.3911(8) angstrom, b = 26.546(5) angstrom, c = 18.743(4) angstrom for Rb4Mn3.5Zn3.5Sb7) and monoclinic Rb(7)Mni(2)Sb(12)-type (space group C2/m, Z = 2; a = 26.544(12) angstrom, b = 4.448(2) angstrom, c = 16.676(8) angstrom, beta = 103.183(8)degrees for Rb(7)Mni(2)Sb(12); a = 27.009(4) angstrom, b = 4.5752(7) angstrom, c = 16.727(3) angstrom, beta = 103.221(2)degrees for Rb7Mn4Cd8Sb12). These related structures contain corrugated anionic layers built up by connecting ribbons of edge-sharing tetrahedra in a zigzag-like manner with chains of Mn-centered square pyramids located at the hinges. Homoatomic pnicogen-pnicogen bonding occurs in the form of Pn(2) pairs. The compounds are formally deficient by one electron per formula unit, as confirmed by band structure calculations which reveal the location of the Fermi level just below a small gap in Rb4Zn7As7 or a pseudogap in Rb7Mn12Sb12.