The wheel has as much to do with lug nut choice as the wheel stud does. The stud size and threads matter, yes, and the seat style of the lug matters - which is dictated by the wheel!
It's a little hard to tell from the pics but it *looks* like those wheels take a mag style lug, in other words a shank lug with a washer. I don't see a conical seat in the pic, but again, it's hard to tell from here. It should be very apparent to you looking at it in person whether it's conical seat or not. Shank style lugs require a larger hole in the wheel than the wheel stud so the shank of the lug can engage inside the hole.
Richard
Hello
@scrilla,
Thanks to the used car factory I've had to sort this kind of thing out more often than not.
Therefore, I second Richard's comments on your setup. From way over here it looks like somebody
substituted conical style wheel nuts where your wheels are expecting 'mag style' shank & washer.
(See attachments for pics of both styles.)
In English, you can't necessarily go by a bevel in the relatively soft aluminum, for this may have
been created purely by the ill-advised fastener substitution by a PO.
But I would encourage you to get that setup sorted out, for when a wheel & fastener system is
mixed & matched like that I've seen it where the stuff backs off without warning and adds unnecessary
drama to your life -- usually at the exact wrong time. Given the way that 1st photo looked, I'd try a
test fit of a single mag style nut (in the right thread size) and see if that doesn't feel a lot less janky
than what you got. As a side benefit, it should look better as well.
EDIT: I can't really figure out what's right. If you have a favorite tire store that you frequent,
swing by and see what they have to say. This see this stuff day in and day out, so they might
know off the top of their head what this aftermarket combo needs in order to be right.
Best of luck sorting this out. Let us know what the final fix that you come up with.
Cheers --
