I wrap all kinds and sizes of
coils, usually never that high in resistance though tbh. It was just a guess to get you close, there are variables that come into play. You really just need to experiment some.
There is a program called the vapors toolbox (forgot about it before). Think it's only for android though but it is pretty handy, I believe a forum member here created it. There is also a google docs floating around with coils sizes and resistance. I just saw it posted and I'll try and track it down.
Here
2mm isn't much bigger than 1/16, according to the vapors toolbox you need a 4 3/8 inch piece of 28 awg wire. With 1/8 inch legs you need a 13/12 wrap. With that long of wire and that thick, it will be slow to react.
Good luck and have fun