The coils on the twins have a bad reputation for being bad. Some of us have adapted coils from other applications. John Deere pony motor coils, Briggs and Stratton twins, motorcycle coils.
I have seen on eBay that someone is winding coils for the old Maytag twin cylinder washing machine motors. Not cheap, around $150 last time I looked. The John Deere coils are around 60.00, and the B&S coils 25.00.