WASHINGTON — Amid the celebration surrounding the opening of son George W. Bush’s presidential library Thursday, former first lady Barbara Bush brushed aside talk of a Jeb Bush run for the White House in 2016.

Appearing in an interview from Dallas on NBC’s “Today” show, Mrs. Bush was asked if she thought that Jeb, the former governor of Florida, should seek the presidency.

“He’s by far the best qualified man,” Mrs. Bush said, “but no.”

“We’ve had enough Bushes,” she said, saying “it’s not just four families, or whatever.”

The Bush family matriarch went on to say she thought there were many worthy candidates, telling anchor Matt Lauer, “There are people out there” who are qualified. Mrs. Bush, who had a reputation for bluntness when her husband George H.W. Bush was president, spoke from the site of the presidential library. On Wednesday, George W. Bush told CNN he thought Jeb Bush should run.