This Tomcat server is installed and running on my PC, Windows OS.
So as you recommended I choose the "This account" option on the Services screen, "Log On" tab and entered my Windows network account credentials and started the service. The result was the same - only local printers but no network printers are found.
About the other option that you mentioned above - "you should create a separate user for Tomcat, log in as the user and install the printers, then let Tomcat run as that user." - how to install these network based printers on my local Tomcat server ?