In 07, the Pats set the record with 589 points scored. At the Pats current pace this year, they are on pace to score 592 points.
It'll be difficult with games against Houston and SF still to come and no Gronk for a couple games (though that didn't stop them yesterday) but they also have a game vs. Jax.
Personally, I doubt they do it but as of right now, with just 5 games left, they are on pace to break the record and over the last 4 games, have averaged 47.5 ppg. In fact, over the last 4 games, they've outscored 8 teams on the season.