We investigate the exotic ΩΩ dibaryon states with JP =0+ and 2+ in a molecular picture.We construct a tensor ΩΩ molecular interpolating current and calculate the two-point correlation function within the method of QCD sum rules.Our calculations indicate that the masses of the scalar and tensor dibaryon states are mΩΩ,0+ =(3.33 ±0.51)GeV and mΩΩ,2+ =(3.15 ±0.33)GeV,respectively,which are below the 2mΩ threshold.Within error,these results do not negate the existence of loosely bound molecular ΩΩ dibaryon states.These exotic strangeness S =-6 and doubly-charged ΩΩ dibaryons,if they exist,may be identified in heavy-ion collision processes in the fu