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Multiple quantum (MQ) NMR with a dipolar ordered initial state opens newpossibilities for the exploration of many-spin entanglement. In this paper, weinvestigate many-spin entanglement in a gas of spin-carrying molecules (atoms)in nanocavities in the conditions of MQ NMR with a dipolar ordered initialstate. The second moment of the distribution of the intensities of MQ NMRcoherences, which provides a lower bound on the quantum Fisher information, isused for an estimate of the number of the entangled spins. Many-spinentanglement is investigated at different temperatures and different numbers ofspins.

Many-spin entanglement in multiple quantum NMR with a dipolar ordered initial state