Ever since Yukawa proposed that the pion is responsible for mediating the nucleon-nucleon interaction, meson exchanges have been widely used in understanding hadron-hadron interactions. The most studied mesons are the $sigma$, $pi$, $rho$, and $omega$, while other heavier mesons are often argued to be less relevant because they lead to short range interactions. However, the ranges of interactions should be compared with the size of the system under study but not in absolute terms. In this work, we propose that one charmoninium exchange is responsible for the formation of the $Omega_{ccc}Omega_{ccc}$ dibaryon, recently predicted by lattice QCD simulations. The same approach can be extended to the strangeness and bottom sectors, leading to the prediction on the existence of $OmegaOmega$ and $Omega_{bbb}Omega_{bbb}$ dibaryons, while the former is consistent with existing lattice QCD results, the latter remains to checked. In addition, we show that the Coulomb interaction may break up the $Omega_{ccc}Omega_{ccc}$ pair but not the $Omega_{bbb}Omega_{bbb}$ and $OmegaOmega$ dibaryons, particularly, the latter.