This example is one method of setting up a secure VNC session tunneling over SSH. It assumes a VNC server has been installed on the remote system.

Windows

Download and unzip MobaXterm Home Edition (portable edition) 

Open MobaXterm and start local terminal

SSH into the remote system


After the vncserver is running, open MobaXterm to configure the VNC session


Select VNC and enter localhost in the remote hostname and select the port the vncserver was started on like 5902 in the set above

Select SSH gateway (jump host) under the Network settings


In the SSH jump host enter the server name ase-tanaka-lab-1.ae.utexas.edu and your logon name

When you connect (execute) the session, it will first ask for your server password, the ask for the vncpasswd your set when configuring the vnc server session