nope, because the matrix-org branch of synapse was archived at the end of 2023, so you'd be horribly out of date and insecure; instead the team who wrote Synapse switched to AGPL and now release it at github.com/element-hq.

matrix.org branch is actually 5 months old now: https://github.com/element-hq/synapse/tree/matrix-org-hotfix...

erm, that branch isn’t in use anywhere these days? it used to be what we ran on the matrix.org homeserver, but it’s dead.