"Social media provides a great platform for discourse, but we must be careful with the messages we send out," Carson tweeted Tuesday.
Trump set off his latest firestorm this past weekend when he tweeted a graphic critical of Hillary Clinton that featured a six-pointed star, a pile of cash and the words "most corrupt candidate ever."
Critics responded that the graphic evoked anti-Semitic imagery and the Trump campaign initially refused to answer questions about the tweet even as reports emerged that the image had been posted to an anti-Semitic, white supremacist message board 10 days earlier.
Trump downplayed the controversy in a tweet Monday morning by slamming the "dishonest media" and saying that the star was a Sheriff's star or just a "plain" star, and not a Star of David.
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It's not clear if Carson's tweet was a 'subtweet' directed at Trump. CNN has reached out to Carson's representatives for comment.
But Carson -- now a Trump surrogate -- has repeatedly come to Trump's defense since joining the presumptive Republican nominee's team, though Carson has in the past called Trump's Twitter use "a problem."
Carson told MSNBC's Andrea Mitchell Tuesday that "it doesn't really matter" what Trump does because he will be criticized regardless.
"People are going to try to reinterpret things and try to say he's against this group or against that group," Carson told Mitchell. "What he's really for is America."
He added that Trump is "not a racist by any stretch of the imagination."
Conservative host Joyce Kaufman, a Trump supporter, suggested to Carson in April that the bombastic GOP front-runner should shut down the account.
"We talk about it and a number of people talked about it, including his family," Carson told Kaufman on South Florida's 850 WFTL, in an interview reported by BuzzFeed. "And he knows that it's a problem. So, you know, the first part of solving the problem is recognizing that it exists."
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