Without external conflict, the Larkezni grew quickly.
The Larkezni were the first species to actually achieve interstellar flight. Because of this, no one else had left their planet yet. So the Larkezni didn't have to deal with any other empires restricting their growth. They placed colonies all over the Cluster. Because they found no one else as expansive as them, they named the Cluster after themselves- The Larkenzi Cluster.