You could technically use any distro for Web Development, though there are some that are designed to be servers such as Red Hat Enterprise Linux (Alternatives : Scientific Linux (SL), CentOS) which are also designed to be very stable (Major Release Cycles and Support is 5-10 Years).
Fedora Linux is the testbed of Red Hat Enterprise Linux (RHEL), and thus Fedora is RHEL Beta (Fedora 12 is RHEL 6). Release Cycle every 6 months, Support term about 9 months.
If you are looking for Stability, you should look into, RHEL (and its alternatives), Slackware, and Debian.
If you are looking for ease of use and eye candy, Linux Mint, Linux Mint Debian Edition, JupiterOS, AuroraOS, Fuduntu.
If you are looking for security and for an extremely hardened version of GNU/Linux, I recommend that you keep an eye out for Fortress Linux. http://www.fortresslinux.org/