Do you know where I can find the code, already working?
yes, in fact I wrote one (or rather contributed to one).
The same one now used by among others Sun and Novell for their websites.
I am looking for a backend that I can edit (open source) and I will make the frontend (in html, not php)
All search engines broken again? There are several out there, easy to find.
So if you can provide me with the source code for the backend of a forum, I will be greatly appreciative.
Search for it. A few minutes is all you need.