In this article, we study the J PC = 0 ++ and 2 ++ Q QQQ tetraquark states with the QCD sum rules, and we obtain the predictions M X (cccc,0 ++ ) = 5.99 ± 0.08 GeV, M X (cccc,2 ++ ) = 6.09 ± 0.08 GeV, M X (bbbb,0 ++ ) = 18.84 ± 0.09 GeV and M X (bbbb,2 ++ ) = 18.85 ± 0.09 GeV, which can be confronted to the experimental data in the future. Furthermore, we illustrate that the diquark-antidiquark type tetraquark state can be taken as a special superposition of a series of meson-meson pairs and that it embodies the net effects.