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Assuming that the f2(1270), f′2(1525), a2(1320), and K*2(1430) resonances are dynamically generated states from the vector meson-vector meson interactions in L = 0 and spin 2, we study the γp → f2(1270)[f′2(1525)]p, γp → a02 (1320)p, and γp → K*2(1430)Λ(Σ) reactions. For the γp → f2(1270)p reaction, we find that the theoretical results for the differential cross sections are in good agreement with the experimental measurements and provide support for the molecular picture of the f2(1270) in the first baryonic reaction where it has been tested. Furthermore, we predict also the total and differential cross sections for other reactions. The results can be tested in future experiments and therefore offer new clues on the nature of these tensor states.