Within the framework of a simple model including chromomagnetic interactions only, the energies of diquonia Q2(Q̅2) with orbital angular momentum L=0 are calculated and compared to the threshold energies. The results are given as functions of mass ratios and all possible diquonia built with u, d, s, c, b quarks and spins S=0,1,2 are studied. A number of new systems which could be bound under strong interactions are proposed.