No, I do not think black or any minority privilege outweighs white or other majority privilege. A white person has far more privilege than a black person. I acknowledge and accept that as fact.
But there are privileges that minority groups have that their respective majority group does not have. I'd like to address some of those here.
Black (female) privilege is being able to speak your mind in any situation, even if you are saying rude and insulting things, because you are “keeping it real”. Were a white woman to do so, people would call her a bitch and say she is overreacting.