Quantum systems typically follow the eigenstate thermalization hypothesis, but interesting alternative behaviors have been found and also observed experimentally. Many-body localized systems is one example, where all eigenstates in the spectrum have low entanglement. Another example is quantum many-body scars, where only a few, highly excited states have low entanglement, while the rest of the spectrum consists of states with high entanglement. Here, we propose and construct models showing the opposite situation, namely highly entangled states embedded in a spectrum that is otherwise many-body localized.