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We compute potentials of two static antiquarks in the presence of two quarks$qq$ of finite mass using lattice QCD. In a second step we solve theSchr\"odinger equation, to determine, whether the resulting potentials aresufficiently attractive to host a bound state, which would indicate theexistence of a stable $q q \bar b \bar b$ tetraquark. We find a bound state for$qq=(ud-du)/\sqrt{2}$ with corresponding quantum numbers $I(J^ P)=0(1^+)$ andevidence against the existence of bound states with isospin $I=1$ or $qq \in\{cc,ss \}$

Exploring possibly existing $q q \bar b \bar b$ tetraquark states with $q q = ud, ss, cc$