Also, Turner was way off the line, allowing him a very big lead.
But I didn't think he was clearly out. Altough I do think umpires lean that way on close plays like that, because it's usually the right call.
But if you slow down the replay, you can see his hand touches home plate before he gets tagged. However, his loose helmet gets tagged before he touches home plate. Normally, the helmet is part of the runner, but does that apply when it falls off?