The laws regarding this situation can vary depending on your country and state, so it's essential to consult with a legal professional in your area for accurate advice.
At 16 years old, you may still be considered a minor in many jurisdictions, and your parents or legal guardians typically have the responsibility to care for you. If your mother kicks you out and you go to live with someone else without her consent, she might have the right to involve the authorities to bring you back home. In some places, harboring a runaway minor could also be illegal for the person you are staying with, depending on their legal relationship with you.
However, each situation is unique, and there may be exceptions or extenuating circumstances. Some jurisdictions have "emancipation" laws that allow minors to be legally recognized as adults before turning 18, under certain conditions. If you are facing difficulties at home, it's essential to seek legal advice and explore your options.
If you're experiencing problems at home, consider talking to a trusted adult, a school counselor, or a local social worker who can provide guidance and support. They can also help you understand your rights and options in your specific location. Remember that seeking professional advice is crucial in matters like these, as laws can differ significantly depending on your area.