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$D^{*+/-}$ production in the diffractive interactions was measured with the ZEUS detector at HERA using integrated luminosities of 44 pb$^{-1}$ in deep inelastic scattering and 38 pb$^{-1}$ in photoproduction processes. Diffractive interactions were identified by a large gap in the rapidity distribution of final states. $D^{*+/-}$ mesons were reconstructed from the decay $D^{*+} -> D^0\pi_s^+$ with {$D^0 -> K^-\pi^+$} (+c.c.). Integrated and differential cross sections were compared to theoretical expectations.