Greddy lug nut help?

I recently got some buddy club (greddy) racing lug nuts, they are the short open ended with an m12-1.5 thread. I was totally freaked out when they came, i was so excited. i've been at two car shows in two weeks and had no time to put them on. anyway, i got out in the garage tonight, alright i'm stoked, i put them up to the wheel stud.........*SHANKS SELF IN FACE!!* the base of the lugs are too wide to fit in my rims (diablo racing concept nines) i looked and even if i machine the heads of the lugs to fit inside, the holes in the wheels are too small to get my 19mm socket inside them. the rims were not on the car when i bought it (bad tires) but i wrapped them and mounted fine, the funny part is that they are held on with 5 count 'em 5 wheels locks (not lugs) per wheel. so idk if normal lugs (no matter what brand) wont fit it or what. if you have any equivilant lugs that would work or even new wheels that they would fit lol bc i've been needing some new ones anyway