I recommend that you get rid of the 415 or the 410 chain and get this chain instead---> Wippermann ConneX 1R8 1/2 x 1/8 Nickel Heavy Duty Chain
This is a thinner chain but it is one of the strongest BMX chains you can get. It has reinforced nickel plated links. It will not twist and has a breaking load of 12,000 newton so it will not break. It will slide through your engine sprocket much smoother than the bulky 415 and will give you more room to clear the tire. I had the same problem clearing the tire and this worked for me.