Recently LHCb discovered the first doubly-charmed baryon Ξ ++ cc = ccu at 3621.40 ± 0.78 MeV, very close to our theoretical prediction. We use the same methods to predict a doubly-bottom tetraquark T (bbūd) with J P =1 + at 10, 389 ± 12 MeV, 215 MeV below the B −B * 0 threshold and 170 MeV below threshold for decay to B −B0 γ. The T (bbūd) is therefore stable under strong and electromagnetic (EM) interactions and can only decay weakly, the first exotic hadron with such a property. On the other hand, the mass of T (ccūd) with J P =1 + is predicted to be 3882 ± 12 MeV, 7 MeV above the D 0 D * + threshold and 148 MeV above D 0 D + γ threshold. T (bcūd) with J P =0 + is predicted at 7134 ± 13 MeV, 11 MeV below theB 0 D 0 threshold. Our precision is not sufficient to determine whether bcūd is actually above or below the threshold. It could manifest itself as a narrow resonance just at threshold.