Those Speckled Butter Beans look happy there.
I take it that's a hot wire with the insulators (?) you're using, seem short for keeping much of anything but a dog out.
How many hours a day do you run the grow lights?
Your starts look to be pretty stocky, much unlike the weak starts most often seen at the local stores for sale.
It suprises me to hear you need to cage your determinates.
My main production tomato is a Celebrity, I've never needed more than a stake for support. They have fat stalks and hearty stems that support themselves with a few ties here and there.
They grow to about 40 inches and start pumping out fruit.