(CNN) -- South Carolina Sen. Lindsey Graham, who is toying with the idea of a presidential bid, joked in a private gathering this month that "white men who are in male-only clubs are going to do great in my presidency," according to an audio recording of his comments provided to CNN. In the meeting, the Republican also cracked wise about Baptists, saying "they're the ones who drink and don't admit it," a variation of a joke he sometimes tells in public.