It's a .swf (flash) so you'll want a standalone flash player now that browsers are stopping support for flash.
You must be registered to see the links
Nab the "Flash Player projector", which will give you the file "flashplayer_32_sa.exe". Run that, drag the TiTS .swf into it, and voila.
The fourteen in-game savefiles will be located in your user folder, under "AppData\Roaming\Macromedia\Flash Player\#SharedObjects\
(some gibberish here)\localhost".
You can also save to a file directly, as an alternative.