The distinction is whether the members of the family are acting in unison or as individuals, not whether they all live at the same address. As a result, the following is correct, since all your family members are acting in unison to enforce a curfew:

My family does not give me permission to be outside after 10pm.

Remember that you can usually avoid this problem by rewriting your sentence:

My family members do not give me permission to be outside after 10pm.

The distinction is whether the members of the family are acting in unison (singular) or as individuals (plural), not whether they all live at the same location. As a result, the following is correct, since all your family members are acting in unison to enforce a curfew:

My family does not give me permission to be outside after 10pm.

Remember that you can usually avoid this problem by rewriting your sentence:

My family members do not give me permission to be outside after 10pm.

The distinction is whether the members of the family are acting in unison or as individuals, not whether they all live at the same address. As a result, the following is correct, since all your family members are acting in unison to enforce a curfew:

My family do not give me permission to be outside after 10pm.

Remember that you can usually avoid this problem by rewriting your sentence:

My family members do not give me permission to be outside after 10pm.

The distinction is whether the members of the family are acting in unison or as individuals, not whether they all live at the same address. As a result, the following is correct, since all your family members are acting in unison to enforce a curfew:

My family does not give me permission to be outside after 10pm.

Remember that you can usually avoid this problem by rewriting your sentence:

My family members do not give me permission to be outside after 10pm.