ELI5: If the age of the universe is about 14 billion years old how come the diameter of the universe is 93 billion light years?

Because space itself can expand faster than the speed of light.
The speed of light is the fastest anything can move through space. Space itself, however, doesn’t have that limitation in expansion.

Also worth mentioning that is only the observable universe that is 93 billion light years in diameter. No matter where you are in the universe, you can only observe the 93-billion-light-year sphere centered at your location. Move beyond that edge, and your sphere just has a different center. You’ll never observe the entire universe. As such, we have no reason to believe the universe has a edge at all. It may be much MUCH wider than 93 billion light years, or it may be truly infinite.

Explain Like I`m Five: good questions, best answers.