The key is 6 sided sockets, no 12 points as I quickly learned as the cover began to twist over the core ....your lug wrench is correct unfortunately and nothing else will really be safe.
I think what amazes most of us that spin our own wrenches is that something this easy to get wrong even came to market! This while inventive, should have been caught at the proving stage where they initially tested these style lug nuts.....guess no one there had a socket wrench...
jeff
Everytime I look at socket sets in a store I get disgusted by the 12 points. It's hard to even find six points in a set and if you do you're lucky a half of them are six points. I have zero use for 12 point sockets and I've been through this with other people over the years. People argue that a 12-point holds better and I'm sorry, they are mistaken. I have despised 12 points all of my life. There have probably been four times maybe only three in my entire life a wrenching on cars and lawn mowers and bicycles Etc where I have needed a 12 point socket. I do remember the rod cap bolts on a 75 Buick Electra being a 12-point.
Yes, you can find some test where they show a 12-point or some other design socket holding better than a 6 point but this is not the real world and this is not on Fasteners that are already partially rounded off or stripped because over the years people have messed them up or they have rusted. I will always go for a 6-point hex head socket because that's all you ever need.
I went out probably almost 20 years ago for the Craftsman socket set that I was using with a nice big plastic box with the set a reminder removable tray and all of that, and replaced all my 12 points with six points.
So many sets on the market today only give you hex heads for very large sockets. They're kind of do I get backwards. They be doing any more of a favor to give you the six points on the smaller ones under 7/8 or 3/4 and give you the 12 points on a larger ones but I believe the reason they do that is is cheaper and easier to make the six points. Well good! Because that's the only ones I'm buying.