David Weathers, Francisco Cordero, and Bill Bray all blew saves for the Reds and Cla Meredith contributed one for the Padres. Jeremy Affeldt and Josh Fogg had holds for the Reds and Brian Corey had a hold for the Padres.
I haven't found an easy to find other games that have had this many blown saves before, but I found a reference to one in Yahoo! Answers for a game between the White Sox and Tigers in Detroit on September 14, 1998 that also had four blown saves. Chicago won the game 17-16 in 12 innings with the White Sox blowing three saves (Carlos Castillo, Bryan Ward, and Bobby Ward) and the Tigers blowing one (Matt Anderson).
UPDATE - Commenter Travis08 turned up this 1995 game between the Cubs and Astros that featured four blown saves by the Astros. And twogames that had a combined five blown saves, both of which were played at Coors Field.