We investigate the structure X(4630) discovered by the LHCb collaboration in the process B + → J/ψφK + as a resonance in the J/ψφ mass distribution. We explore this resonance as a diquarkantidiquark state X = [cs][cs] with spin-parities J PC = 1 −+ . Its mass and current coupling are calculated using the QCD two-point sum rule method by taking into account vacuum condensates up to dimension 10. We also study decays of this tetraquark to mesons J/ψφ, ηcη (′) , and χc1η (′) , and compute partial widths of these channels. To this end, we employ the light-cone sum rule approach and technical methods of soft-meson approximation to extract strong coupling at relevant tetraquark-meson-meson vertices. Our predictions for the mass m = (4632 ± 60) MeV and width Γ = (159 ± 31) MeV of X are in a very nice agreement with recent measurements of the LHCb collaboration. These results allow us to interpret the resonance X(4630) as the tetraquark X with spin-parities J PC = 1 −+ .