Welcome to Linux Mint!
Which "flavor" of LMDE have you installed (MATE/Cinnamon or XFCE)?
Look at your start menu for an entry named "System Profiler and Benchmark", click it and let it load. There you'll find a lot of info about your system (detected devices, loaded modules, etc.).
Next thing: do you really
need a manufacturer's driver?
If your system is up and running, and every device in it is properly working, you don't have to install anything else.
Linux users coming from Windows have a tendency to think that the best possible drivers are those created by the device manufacturers and not the OS defaults, and in many cases it's the contrary.
If you notice that something in your system is not working as it should, first come here to the forums and do a search, or ask for assistance, because there's a chance someone else had to deal with that problem too and found a solution.
Ok. Now the TBS 6220 driver installation.
Here you can find some info from the guys of ubuntuforums: http://ubuntuforums.org/showthread.php?t=1821525
And if you can read in Spanish, here some info about installing TBS in Debian systems: http://www.sergiodanielg.com.ar/2012/02/compilando-drivers-tbs-la-debian.html
PS: Sorry for my English.