This spot is situated near Batumi's boulevard center. It's main piece is an abstract soviet sculpture of a mosaic octopus. Its very fun to skate if you get creative. Beautiful for shooting. On the spot you can find a set of stairs suitable for technical/manual tricks as well.
It's better to try going there early in the morning or late in the evening because of the security.
But you can never be sure of it for any spots near Batumi's boulevard.