If it is baseball to softball size, and usually displayed in a net bag, it's elephant. The taste is garlic but it is mild. I think grocery stores prefer them to be in net bags because they are 1/4 to 3/4 of a pound, and even larger. The net keeps customers from pulling off one or two cloves and leaving the rest. For next year I've ordered Turkish Giant (hardneck) and Siskiyou Purple (softneck) to start to build a seedstock of other varieties. Both have big clumps and big cloves. My neighbor who got me started growing garlic grows 8 varieties and is now selling 4 varieties of seed stock on his website. www.marvelousroots.com
You have quite a variety! Where did you buy your original seed stock? Your tastes are much more adventuresome than mine. It's funny, but here I am growing garlic and I don't eat a lot of it. My husband has one of those terra cotta clay garlic roasters, and he eats a lot more garlic than I do, a whole clump 2 or 3 times a week. My stock of regular garlic, mostly Persian Star, is dwindling. Next year I'll grow more for him.