WASHINGTON — The Heritage Foundation, a conservative group that has played a leading role in moving the courts to the right, is reviving a “federal judicial clerkship academy,” according to materials posted on Wednesday on the group’s website.

The foundation canceled an earlier version of the program last month after an article in The New York Times raised questions about some of its features, including requirements that participants keep teaching materials secret and promise not to use what they learned “for any purpose contrary to the mission or interest of the Heritage Foundation.”

John Malcolm, a Heritage Foundation official, said the revised program eliminated those requirements, which he said had been the subject of widespread and warranted criticism.

“We led with our chin, and we got hit,” he said. “It was a self-inflicted wound.”

“The language that was in the original application was totally unnecessary and was just a misguided attempt to protect the reputations of the people who were involved,” Mr. Malcolm said. “But it was silly, and we shouldn’t have done it. It was never our intention to have some kind of loyalty oath. People do not have to be loyal to the Heritage Foundation.”