“”There were times when I was praying and when I felt I was doing things that were wrong. But I was still doing them,” Gingrich said during the interview. “I look back on those as periods of weakness and periods that I’m not only not proud of, but I would deeply urge my children and grandchildren not to follow in my footsteps.”
Nowhere is there any admission of an affair.
Yes he did admit it, and ironically, he admitted it to Dobson on FOX back in 2007.
http://www.foxnews.com/story/0,2933,258001,00.html