We present the results of a search at Fermilab for the charmed meson, D∘(1865), produced in association with a prompt muon by 300-GeV/c neutrons. We observe no significant enhancement in high-mass K±π∓ systems and report, at the 95% confidence level, an upper limit of 200 nb/nucleon for the production of a pair of charmed particles and their subsequent decay into a K±π∓ state and a prompt muon.