Hero, I mean unwind his turns and rewind again using the wire size exactly same as what the original one had. A tight wiring is good. I assume two reasons for the smoke:
1. He has chosen a higher diameter wire so the overall resistance is low which needs extra turns but the core will overflow.
2. His winding might be a loosened one , so he ended up with less number of turns than required.
Start winding the wire from one pole, once finished go to the second one wind on same direction, then to the next one etc. Finally attach the two wire ends together.Suppose you have three poles. You end up with three wire sections in between the poles. Just remove the enamel on the center of the each section and attach to the split ring. Split ring will have three sections.