Q: For 2 adults and a 17 year old what is best: Puerto del Carmen or Costa Teguise?
A: Puerto del Carmen has more nightlife and a better beach whilst Costa Teguise is quieter and more relaxed but can be quite windy. In your case, the best bet is probably Puerto del Carmen.
Virtual Tour of Camp de Mar - wooden walkway over sea from beach to island restaurant,
Majorca,
Spain