My closest female friends, outside my quadra, an IEE, and an ESE (who I didn't trust but loved anyway), My closest male friends, outside my quadra, have primarily been Gamma and Alpha NTs. I have had more male friends than female but not by conscious choice. Just about everyone I have been close to has been Beta though.

I was also very close with an ESI female once and we lived together, on and off, over a period of years.