Trying to snap their three-game losing streak, the Lions flew to Gillette Stadium for a Week 13 fight with the New England Patriots.  In the first quarter, Detroit trailed early as kicker Stephen Gostkowski nailed a 25-yard field goal for the only score of the period.  In the second quarter, the Lions took the lead with QB Jon Kitna completing a 5-yard TD pass to WR Mike Furrey, while kicker Jason Hanson got a 29-yard field goal.  However, New England would reclaim the lead with RB Corey Dillon's 6-yard TD run and Gostkowski's 27-yard field goal.  In the third quarter, Detroit came right back with Hanson's 38-yard and 49-yard field goal, while DE Jared DeVries sacked Pats QB Tom Brady in his endzone for a safety.  In the fourth quarter, Hanson would kick a 26-yard field goal.  However, their lead would vanish for good, as Dillon got a 2-yard TD run, which was followed up with Brady successfully completing a 2-point conversion pass to WR Troy Brown.  Dillon would then wrap the game up with a 4-yard TD run.  With their fourth-straight loss, the Lions fell to 2-10.. How many yards was Corey Dillon's longest rushing TD?