How to properly organize a backup using Time Machine?

Question

Backup

Hello community.
Time Machine technology is probably one of the most convenient, elegant and simple backup solutions. But not in the enterprise)
There is a Synology 1813+, 22TB and about 30 Macs.
In Synology, I successfully set up TM (Time Machine), highlighting a separate folder for which, by the way, it was not possible to set a quota of more than 4TB, well, Synology does not know how to do this. Users happily rushed to take up space. After 2 days, I realized that nothing would come of it.
TM works on the principle - hourly, daily, weekly and monthly backups until the disk space runs out, and then it starts overwriting old copies.
Okay Google. For one user, a smart solution, but what if there are 30 of them? And tomorrow more will be added and there will be no more space.
Accordingly, it is necessary to somehow limit the size of copies on the part of the user. On the Internet, I found several solutions with a tambourine, and with some other tambourine. Given the high turnover of users, these solutions are not entirely suitable. You will have to spend a huge amount of time just to maintain these backups.
Maybe in my case there is a more elegant solution? There is no centralized user management like Samba on the network.