It would be a big step for a first management role, but not insane. The first time I did it got up to about that number in less than 3 months, so not day 1 but not far off it. This happened by having a regular sized (i.e half dozen) team first, and hiring another dozen person team soon after where it made sense to put them under my group.
The only reason we tried that is that a) things were going well and b) I had good mentorship in the role with the commitment of real help (i.e. time) from them if things started to get shaky.
Oof, I hope not directly. Based on this evidence (also in An Elegant Puzzle) you wouldn't want more than 8-10 direct reports:
https://lethain.com/sizing-engineering-teams/