It is not enough that you want to leave your home and have good reasons for doing so. You have to be able to convince a judge that you are able to take care of yourself and provide for yourself. Do you have a job? Do you have a trust account with a lot of money to pay for your expenses? Where would you live? The judge is going to ask these types of questions. If you are being abused then it should be reported to law enforcement or DCF. While you may not want to live in a foster home, it might be better than being in an abusive environment.
This is not to be considered legal advice nor does an attorney-client relationship exist.