Story highlights The Massachusetts senator says Washington works well for special interests and the well-connected but leaves out the rest of the nation

She says that in her eyes, two declared GOP candidates have already disqualified themselves

(CNN) Sen. Elizabeth Warren insists she's not running for president. But her description of a 2016 "dream" presidential candidate sounds a lot like, well, her.

Warren, during an appearance Friday on CNN's "New Day," said she wanted to see someone willing to fight for the middle class and "make Washington work for families again."

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Warren says she feels that Washington functions well for special interest groups and the well-connected but leaves out the rest of the nation.

"(I've) spent my whole life studying what's happening to America's middle class and watching year by year, one blow after another," she said. "We live in an America now where the game is rigged, where Washington works really great for those who hire armies of lobbyists, armies of lawyers. It's just not working so well for the rest of America."

Warren, a Massachusetts Democrat, also got specific with her wish list, mentioning that a candidate willing to lower the interest rates on student loans and shore up Social Security would get high marks from her.