SOLVED.
Admin, this information may be of use to you:
After looking around, I suspected this was caused by triggering a kind of server security module called mod_security.
Apparently, you shouldn't turn this off, but I asked my server admin to turn it off for troubleshooting:
Quote:It is not possible to disable mod security rules for complete account but I have excluded it for the file "/zenphoto/zp-core/admin-options.php"
So now it works, and i'm happy about that, but is there something you guys should change to stop mod_security being triggered in future?