I am trying to access the web based Tomcat manager. In my local network I can do that without any problems, but when trying to access it outside of it I get a problem. I can enter the the username and password but then nothing happens. My browser just shows a "can't connect" page. I used Firefox' analyzing tool to check the response: there's none.
Well, somewhere in Tomcat logs you should see some messages telling you on which address: port Tomcat web transport is bound to. You should read the documentation and verify how to specify http binding settings.
Your server.xml example doesn't show the Connector definition for port 7423, which is what you've designated as your SSL listener port.
That definition should contain the details of the port, including its SSL characteristics and the location and credentials of the keystore that's used to hold SSL security certificates, which are essential for any service that intends to use SSL/TLS.
The Tomcat manage and admin webapps require a secure transport. Otherwise anyone who wanted to could easily hack in and take control of the entire Tomcat server.
And, of course, the other thing you need is to ensure that port 7423 is open at the firewalls.
"privilege" comes from the Latin words for "private" and "law" (legal) and dates to feudal times. To "claim privilege" meant that you were above the laws that applied to the common people.