Youth Hostels will accept people of your age and there are many at coastal locations. What they will not accept however, is rowdy drunk behaviour
www.yha.org.uk
Hi so pack your self a tent and sleeping bags and lots of money to feed yourselves back in your parents home before three days have passed.
You could try Newquay, some camp sites will accept Teens but you will have to do a lot of phoning around.
Youth Hostels are about your only option and they will want some proof that you are away from home with your parents permission
You can go anywhere, just tell the customs officer that a family member is going to meet you at arrivals. They never check.