It's not the first time that the Washington hospitals have pulled off an ambitious kidney exchange. Doctors at Georgetown University Hospital and the Washington Hospital Center performed a 13-person exchange just last December and a seven-person exchange in the summer of 2009.
"I don't know if we've reached the limit, but I'm guessing that 10 to 20 is about as much as you can do at any given time," said Dr. Jimmy Light, the director of the hospital's transplant services.
"I'm just privileged to be able to do these things," he said. "I can't think of any other thing where I can make such a difference in people's lives and feel so good about it.
ABC's Conor Finnegan contributed to this report.