Everyone has a different version of the chicken cannon joke, but I think there's only one aircraft that matches your question:
1. General Dynamics
2. Aardvark F-111 A, B, C, D, E, F, K, G, A/F, Raven, etc.
3. December 21, 1964.
This was due to the Vietnam War right? Low-altitude flying increased bird strikes against the jets, leading to damage, injuries, and fatalities?
The account I read said that the first U.S.A.F. chicken gun was constructed out of an 8 inch naval cannon and some scrap hardware lying around the AEDC.