A further extension of the multiplet structure of broken U~(12) is proposed. The "kinetic supermultiplets" are represented by reducible tensors and group together separate nondegenerate multiplets. The example of the lowest kinetic boson supermultiplet is treated in detail. Such a supermultiplet has already been shown by Borchi and Gatto to provide for a classification of the higher boson resonances. The mass relations are derived including first-order SU3 breaking. Comparison with the data shows a remarkable accuracy. The predicted equidistance relation 12[m2(A2)+m2(A1)]=m2(B) between the squared masses of the resonances A1, A2, and B is satisfied to >~1.5%. A T=1, JPC=0++ meson at (970+/-50) MeV and a T=0, JPC=1+- meson at (1215+/-15) MeV are directly predicted. If K*(1430), κ(725), and f0(1253) are included in the supermultiplet, as suggested by their quantum numbers, and the assumption is made that f0 has a maximal mixing with another particle of the same T and JPC, one can predict in addition the following resonant masses: (1560+/-50) MeV with T=0, JPC=2++; (1270+/-30) MeV with T=0, JPC=1+-; (1180+/-190) MeV and (990+/-200) MeV both with T=0, JPC=1++. The supermultiplet also includes two mixed K resonances K' and K'' with JP=1+. One of them could be K*(1175) or C (1215), the other resonance being then predicted at (1100+/-40) MeV or (1050+/-40) MeV, respectively.