The Teen Pregnancy Center is the location of a prank by Brian and Peter Griffin in "The Thin White Line".
When Brian develops a cocaine addiction from his job sniffing for drugs, he goes to the Providence Rehab Clinic. Peter, disappointed at not being able to take a planned vacation and in awe of the fancy amenities at Brian's rehab facility, decides to fake his own addiction in order to "vacation" at the detox clinic.
Before long, Peter's obnoxious behavior attracts the attention of the clinic's head doctor, and despite his initial attempts to ignore Peter, Brian gets sucked into Peter's antics, including causing 14 premature births at the nearby Teen Pregnancy Center when they prank the teens by placing their hands in warm water, a stunt that usually gives the sensation of urinating in bed.