Exclusive production of K+K- pi + pi - in photon-photon collisions.

We report a measurement of the reaction ..gamma gamma -->..K/sup +/K/sup -/..pi../sup +/..pi../sup -/ in both tagged and untagged events at PEP. The cross section rises with invariant ..gamma gamma.. mass to about 15 nb at 2 GeV and falls slowly at higher masses. We find clear evidence for the processes ..gamma gamma -->..phi..pi../sup +/..pi../sup -/ and ..gamma gamma -->..K/sup asterisk0/(892)K..pi... Upper limits (95% C.L.) of 1.5 and 5.7 nb in the mass range from 1.7 to 3.7 GeV are obtained for phirho/sup 0/ and K/sup asterisk0/K/sup asterisk0/ production, respectively.