I am going to save you some time figuring it out, and money if you have some DIY skills.
If you look at the burns needle size on this chart as provided by Charkbait
Then if you go look at the hypodermic needle sizes at smallparts dot com under "tubing and pipe", then "stainless steel hypo tubing" you will see hypodermic needles come in thin wall, regular wall and thick wall sizes. The regular wall in the 304 grade is nearly the same size as the burns needles.
Your looking for the HTX-14R thru HTX-20R if you want to follow what I did, the thin wall may work better I dont know, I didnt try them
You can buy the needles in a 6 inch length for a little over $2 a piece.
I think I am using the HTX18R for 50lb izor line mono and 80lb dacron, but I could be a needle size off on that
I bought 3 foot needles and cut them making 6 sets of needles to give to friends, but its a pain to cut clean on the end. I would buy the 6 inch lengths if I was to do it again. I plugged one end with some epoxy to make the needle end, and left the other end open for the mono to slide in.
If you cant figure it out with these clues on the how to do it yourself, then you should just buy a set already made
Good luck