Running away will not solve any problem. You will constantly live with the guilt of cheating on your family. No matter whatever the case is talk openly to your parents or siblings and work out a solution.
Always remember one thing that it is your family they will stand by you always in every situation and talking your heart out definitely helps.
I don't know the situation that you are facing but do try talking to your family once. Think about all the pros and cons and then decide.