Well - if you can log the data to a file - which supposedly "termite" can already do, with a plugin (assuming I found the right docs for termite - you might want to link to it) - then at that point you just need to get the data to the server you want to serve it from.
Honestly, this is really outside the scope of this forum.
That said, basically what you would want to do is have the file - on a regular basis - uploaded to your server (whatever it is); perhaps termite could handle this - or you could use something like Secure FTP (sftp) - heck, even curl could do it (with curl, you'd write a web page and handler that would allow you to upload a file - basically a file upload form - but without the form - then curl can be used to do a multipart file upload of the log file).
Once you have it on the server, you can then do what you like with it - which again, is far outside the scope of this forum - I could tell you a ton of ways to do it, but it would take more time and space than I have here to do so.
So - I would concentrate first on looking into getting the data up to your server - then figure out what you want to do with it, how you want to store and manipulate it, and how you want to provide views into it for others. Those fall under more advanced server development topics, none of them related to the Arduino - and would be better served by other advice venues (Stack Overflow might be a good starting point).