We don't know the tempo, but since the 16-notes are marked as two triplets, not one sextuplet, it might be better to move your hand on the (half)-beat, i.e. something like 51-3-1 4-2-1 or 51-2-1 5-2-1.
There's nothing obviously "wrong" with your 51-5-2 1-2-1 (or 51-5-3 1-3-1), if that works for you.
A fingering like 51-1-5-3-2-1 might tend to put a false accent on the second or third note, if the notation of two triplets not one sextuplet is significant.
If all the notes are really on the black keys (either because your description in the OP has some typos, or because you don't understand what key signatures mean) then somebody with big hands might prefer 51-5-4-3-2-1, letting your hand move up as you play the arpeggio. With big hands you might prefer 41 or even 31 on the low octave, with your wrist turned to the left so your hand moves less distance than with 51. The black keys are easier to hit cleanly than the white ones!
Whatever fingering you use, don't squirm around trying to play the notes legato. That's what the sustain pedal is for!