Greatest amount of shots I can remember ( after a certain point it blurs ) was 7; I estimate my max to be around twelve ( since that is what I was told ) shots.
Average depends on how aroused I am and nothing more; with another humn the range is from 4 ~ 7+ and by myself 2 ~ 5 on a good day with a lot of arousal.
My sperm is milky just as you described except perhaps a little more opaque but not quite all the way.
Sorry about that; distance: I've hit the ceiling laying down thus I'd assume about 8' max but generally it's a lot less than a foot if I am by myself and between 1' ~ 3' with another. I should not masturbate so much; perhaps I'd hit that high note again.