"I'm starting to worry that when Hillary Clinton travels, there's gonna need to be two planes – one for her and her entourage, and one for her baggage," Paul, himself a presidential candidate, said to laughs and applause at the Republican Leadership Summit.

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"I'm concerned that the plane with the baggage is really getting heavy and teetering," Paul added.

Clinton, who announced her campaign last weekend, wrapped up a road trip to Iowa this week by flying coach back to the East Coast and was seen pulling her own luggage

Paul cited criticism that the Clinton Foundation had recently accepted donations from foreign governments and also referenced Clinton's acknowledgement of exclusively using private email while secretary of State. She had noted that the Secret Service guarded the server hosting her email.

"Does she think there are like floppy disks in her basement?" Paul said.

His remarks came after a speech at the two-day summit, when responding to a question on whether Sen. Elizabeth Warren (D-Mass.), whom many liberal supporters have attempted to lure into running in 2016, could become Clinton's pick for vice president.

"I wouldn't preclude anybody, yet, in the Democrat primary," Paul said.