I visit a lot of clubs around the world.
The safest I’ve seen is GAGE in Kansas City, Missouri. Al builds a lot of his own equipment and matting to make circuits safer and more efficient.
If you want to see for yourself, consider registering for camp this summer.
related – Former GAGE gymnasts Sarah (Shire) Brown — currently Head Coach at Penn State — is very entertaining and eloquent in talking about her years at GAGE. Listen to that interview on GymCastic episode 358.