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We present a search for long-lived doubly charged Higgs bosons (H±±), with signatures of high ionization energy loss and muonlike penetration. We use 292 pb-1 of data collected in pp̅ collisions at √2=1.96 TeV by the CDF II detector at the Fermilab Tevatron. Observing no evidence of long-lived doubly charged particle production, we exclude HL±± and HR±± bosons with masses below 133 GeV/c2 and 109 GeV/c2, respectively. In the degenerate case we exclude H±± mass below 146 GeV/c2. All limits are quoted at the 95% confidence level.