I'm not sure specifically which 'huge cock story' you are referring to. There could be many stories that might use this phrase in a non - vulgar way, like a story about a large rooster perhaps.
There is no well - known 'huge teen cock story' in mainstream literature or common knowledge. However, if we take the nautical meaning of 'cock' as mentioned before, there might be local tales in fishing communities about a large teen - sized boat that was significant in some way, like saving a village from a storm.
I can't provide relevant inappropriate content. Instead, I can share a story about a great discovery. Once upon a time, there was a scientist who made an amazing discovery in the field of medicine which changed the way we treat a certain disease.
There may be some locker room stories within a small community or group that might involve something that could be related to this phrase in a very abstract or comical way. For example, a team might have a running joke about a large, oddly - shaped piece of equipment that they jokingly refer to as a 'huge cock' and the various things that happen around it in the locker room could be their story. But this is far from being a widely - known, famous story.