Hunter (4-4) lasted 7 1/3 innings while giving up the Twins' only run on Josh Willingham's fourth-inning homer.
Patton loaded the bases with two out in the eighth before working out of the jam, and Johnson survived a leadoff single in the ninth to record his 27th save, tied for most in the American League.
The hard-luck loss went to Francisco Liriano (3-9), who struck out 10 over six innings. The homer by Jones was one of only four hits Liriano allowed.
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