What do I do with the spindle?

Hint 1 of 4:

You saw a similar spindle on Thera, didn't you?

Hint 2 of 4:

Crete is one of the Greater Colonies.  Check Plato to see what you are
supposed to do here.

Hint 3 of 4:

If you're playing FISTS or TEAM, you will find a stone in the ruins.