All I did was went onto the link you posted, changed illuminance from 30 to 90 (hit "Enter") and it gave me 15 fixtures, 3 x 5. I didn't change anything else, so I used all the other settings that you had.
Platonic is using different dimensions than you are. He has 21x20, you have 20x30. If I change it to 21x20 and 90fc, then it goes to 12 fixtures, 3x4.
CD
ahhhh ok that makes sense now. For some reason the link shows up with different entries between my computer and iPhone. The room is 21x20x9, with 90fc I get the layout I posted earlier. I think you got 12 fixtures because the ceiling height may have been at 12ft.
Thinking I will still go with three rows of four.