The isostructural rare-earth titanium antimonides RE2Ti11-xSb14+x (RE= Sm, Gd, Tb, Yb) have been synthesized by arc-melting reactions of the elements. Single-crystal X-ray diffraction revealed that they adopt a new structure type (Pearson symbol oP54, space group Pnma, Z = 2; a = 15.8865(6)-15.9529(9) angstrom, b = 5.7164(2)-5.7135(3) angstrom, c = 12.9244(5)-12.9442(7) angstrom for RE = Sm-Yb). The structure consists of titanium-centered octahedra (CN6) and pentagonal bipyramids (CN7) connected to form a 3D framework whose cavities are filled with RE atoms. 1 D linear skewers of titanium atoms, within face-sharing octahedral chains, and similar skewers of antimony atoms, associated with the titanium-centered pentagonal bipyramids, extend along the b direction. On proceeding from Sm2Ti11Sb14 to Tb2Ti10.41(1)Sb14.59(1) and Yb2Ti10.58(1)Sb14.42(1), antimony atoms are disordered within some of the titanium sites. Resistivity measurements on the samarium and ytterbium members indicated metallic behavior.