That looks to be a cloning tray and/or starter tray. It is designed to grow the plants to a size large enough to be transplanted into the actual
hydroponic system. You should be able to start/clone just about any plant you want using it. But if you wanted to grow them to full term in it, they would need to be small plants. It's hard to tell the size of the tray and holes from the picture. But depending on what you use for the plant supports (baskets and/or plugs), something like green onions, leaks, chives or small herbs may work well. Also if you could place the plants 8 to 10 inches apart you might have luck growing lettuce to full term in it.
P.S. You may want to try adding the pictures as a attachment using the "Manage Attachments" button in the "Additional Options" section just below the "Submit Reply" button. That way large pictures like that wont blow the page out of proportion. Just a hint in case you weren't aware of it.