11/27/66: I was 13 years old. I don't know what I or my family was doing that day, (raking leaves, maybe), but I didn't tune into this game until late in the fourth quarter and all the points had been scored:
New York Giants 41 at Washington Redskins 72 on November 27th, 1966 - Full team and player stats and box score
www.pro-football-reference.com
The Skins were actually outgained by the Giants 354-422 but took advantage of 6 turnovers, two of which were referred for scores to score 72 points, the most since this game:
Chicago Bears 73 at Washington Redskins 0 on December 8th, 1940 - Full team and player stats and box score
www.pro-football-reference.com
The Bears outgained the Reskins 519-231, (they rushed for 381 yards) and were the recipient of no less than 9 turnovers, three of which were returned for scores.
Today the Dolphins outgained the Broncos 726-363. They were the beneficiary of the only three turnovers of the game, none of which directly produced a score.
The only other 70 NFL game I know of was produced by the highest scoring team in NFL history, the 1950 Rams, (38.8ppg), who beat the original version of the Baltimore Colts 70-27 on 10/22/50:
Baltimore Colts 27 at Los Angeles Rams 70 on October 22nd, 1950 - Full team and player stats and box score
www.pro-football-reference.com
The Rams outgained the Colts 547-442 and received 6 turnovers but had 4 of their own, none of which directly produced a score. It was a dismal day for the Colts but still an improvement over their pre-season game against the Rams that same year, when they lost 21-70.