A search for the Z(3930) resonance in γγ production of the DD system has been performed using a data sample corresponding to an integrated luminosity of 384 fb^(-1) recorded by the BABAR experiment at the PEP-II asymmetric-energy electron-positron collider. The DD invariant mass distribution shows clear evidence of the Z(3930) state with a significance of 5.8σ. We determine mass and width values of (3926.7±2.7±1.1) MeV/c^2 and (21.3±6.8±3.6) MeV, respectively. A decay angular analysis provides evidence that the Z(3930) is a tensor state with positive parity and C parity (J^(PC)=2^(++)); therefore we identify the Z(3930) state as the χ_(c2)(2P) meson. The value of the partial width Γ_(γγ)×B(Z(3930)→DD) is found to be (0.24±0.05±0.04) keV
