Years of riding and I never had a flat while out on a ride. Then about two months ago I had the same thing happen to me that happen to you. I heard a bang and the tube had blown. I had everything I needed to fix a flat from a puncture. However, just like you my tube had split along a seam. No patching that and I had no tube with me. I had two, still in the box, new tubes at home but that was doing me no good out here on the road. So I walked my bike back home.

I now carry a tube in addition to my patch kit in my repair bag.