In the framework of a pure chromomagnetic Hamiltonian we study all the q6 systems allowed by the Pauli principle. In a first step, where we consider an exact SU(3)F symmetry, the wave functions are analyzed by group-theoretical techniques. The breaking of the flavor symmetry is performed exactly by introducing a parameter δ. The emphasis is put on the corresponding energies relative to the q3+q3 thresholds.