Which is the best anabiotic for boils? Biaxin, Gentamicin, Azithromycin, Gentamicin, or Levaquin (levofloxacin)?

None of these. See a DR, preferably a dermatologist. Begin with a diagnosis. Hidradenitis suppuritiva? Folliculitis? Distribution, location of "boils"? Specific features of them? How long? Best treatment can be determined by exam and evaluation of your entire physical state. With your stomach problem you should avoid any meds not clearly of benefit. Why no med for BP?