Just checked and the biggest gap is from 3/3/34 - 9/10/48. Once you take the war out of the timeline you're probably looking at it being broken already taking into account that they can't play us until January 24 at the earliest now.
Taking the dates from Wiki on the war out of the equation that gap is 3141 days
If we draw them in the third round of the cup it will be 2848 days.