Would your boyfriend's parents take you in without you having sorted things out with your parents?
If so, in my eyes that does not speak for them!
And how will you afford to live, or do you expect your boyfriend's parents to pay for everything you eat and wear, and need?
Whatever your problems with your parents are, they are responsible for you until you are 18.
Also I cannot imagine that they do not care about you and would be worried to death if you simply disappeared.
Not to mention what kind of explaining you would have to do when they involve the police in looking for you!
If you think you are old enough to live (more or less) on your own, then you should behave like a responsible person and clear this with your parents rather sooner than later.
Maybe your boyfirend's parents can help!