By molecular modeling we demonstrate that the nematic long-range order discovered in bentcore liquid crystal systems should reveal further spatially homogeneous phases. Two of them are identified as a tetrahedratic nematic (N T ) phase with D 2d symmetry and a chiral tetrahedratic nematic (N * T ) phase with D 2 symmetry. These new phases were found for a lattice model with quadrupolar and octupolar anisotropic interactions using Mean Field theory and Monte Carlo simulations. The phase diagrams exhibit tetrahedratic (T ), N T and N * T phases, in addition to ordinary isotropic (I), uniaxial nematic (N U ) and biaxial nematic (N B ) phases. To our knowledge, this is the first molecular model with spontaneous chiral symmetry breaking in non-layered systems.