Print server (Windows server service) requires the following ports to access the network printer:
-TCP 9100
TCP 515
TCP 3910
SNMP (TCP 161)
you should allow the mentioned ports on your firewall to allow access from the server as a source to the network printers as a destination.
Configuration:
Source: Print server IP
Destination: Network printer (or network printers group)
Ports: 9100, 515, 3910 & 161
You can create a custom service including all the mentioned ports instead of creating a separate service for each port.