I'm not convinced they're tuner lugs, In the one picture it looks like the locking lug. But below you can see part of the other lug that looks like a standard lug.
I used to run "tuner" lugs, but not anymore, The tool looks like this:
I don't need it anymore, you're welcome to it, but I don't think it'll work for you.
You need the locking key for that lug.
The other lugs you should be able to get to with a deep well thin walled socket like this:
My recommendation is go to Autozone or pepboys or sears or something, get one individual socket and see if it fits, People at the auto store may be alright with you taking it out to make sure it'll fit in there.
If you're having problems getting the lock nut out and you can't get the key for it. I would say shop around, there are universal kits out there and things of that nature. Just need to match up the key with the lug.