We calculate the masses of $QQ\bar{q}\bar{q}$ ($Q=c,b$; $q=u,d,s$) tetraquark states with aid heavy diquark-antiquark symmetry (HDAS) and chromomagnetic interaction (CMI) model. The highest-spin ($J=2$) tetraquarks that have only $(QQ)_{\bar{3}_c}(\bar{q}\bar{q})_{3_c}$ color structure are related those conventional hadrons using HDAS. Thereafter, their partner determined mass splittings in CMI...