We report a measurement of the reaction γγ→K+Kπ+π in both tagged and untagged events at PEP. The cross section rises with invariant γγ mass to about 15 nb at 2 GeV and falls slowly at higher masses. We find clear evidence for the processes γγ→φπ+π and γγ→K*0Kπ and we obtain upper limits (95% CL) of 1.5 and 5.7 nb in the mass range from 1.7 to 3.7 GeV for φρ0 and K*0*0 production respectively.

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