The place where penguins breed on land is known as a Colony. Otherwise, there is no specific name other than a group of penguins.
It is actually a Rookery of Penguins.
A bunch of penguins are called a flock of penguins.
a flock
Penguins(birds): flock Club Penguin: party
Most of the time about 25-75 penguins live in a flock
A bunch of penguins are called a flock of penguins.
A pack of Mongooses is called a Flock.
The collective noun for a group of cattle is a herd.
Gaggle.
a flock
A gang, a flock or even a rafter
a pack