Penix

When you lose a boner in an awkward situation, then it rises in your pants again, randomly, like a phoenix.

A surname (last name). In the United States there are two families named Penix and there is some speculation that the two may actually be a single family. The strongest argument against that is the fact that there are two distinct races represented. Microsoft will suspend an Xbox Live gamertag with the name Penix in it as 'inappropriate', although they are happy to charge credit cards which bear the same name.

A penis rising from the ashes after sex to fuck again.

An object that unintentionally looks like a penis.

Using your cockhole to hold a pen and write with it, as per the Game Grumps.

An operating system, such at unix...but different.

for now and ever to be used as the plural for penis.