F-16's don't carry the Patriot missile. the Patriot missile system is ground based and NOT carried by any airplanes, except maybe a C-17 to get it somewhere.
What are you talking about? Two reasonably knowledgeable people (besides me) have already said the F-16 NEVER carried the Patriot missle. It is NOT designed to be carried and launched by ANY aircraft, not even an F-15. If you do find a picture of an F-16 carrying a Patriot, it is probably a joke. You'd might as well hang a HAWK missle off of an F-16 pylon while you're at it.