The league mark was set by the Boston Bruins during the 1929-30 season and matched by Philadelphia in 1976. Detroit can break the record with a win Tuesday night over the Dallas Stars at Joe Louis Arena.
Philadelphia rookie Brayden Schenn had a career-high two goals, helping the Flyers take the first of two leads they couldn't keep against a team that hasn't lost at home since Nov. 3 against Calgary.
Detroit goalie Joey MacDonald overcame shaky clearing attempts that led to two goals and finished with 26 saves.
Sergei Bobrovsky stopped 21 shots for the Flyers.
Bobrovsky's head was on a swivel in the opening minute of the third period when Henrik Zetterberg and Nicklas Lidstrom made diagonal passes to set up Franzen in front of the net for his 22nd goal.
Bobrovsky got a break moments later when Valtteri Filppula deked him and lifted a shot over the open net.
The Flyers went on the power play midway through the third but couldn't tie the game.
They pulled Bobrovsky with just more than a minute left to add an extra skater, but he had to go back in net briefly when Franzen got to a loose puck and Kimmo Timonen was called for holding him.
Lidstrom played in his 1,550th game, the most by an NHL player who spent his entire career with one team. He broke the mark set by former Red Wings great Alex Delvecchio.
Fans stood and chanted, "Let's go Red Wings!" during the final minutes and cheered wildly when the clock hit zero.
Early on, Philadelphia took advantage of facing MacDonald instead of Jimmy Howard, who missed his fifth straight game with a broken right index finger.
MacDonald misplayed a puck behind the net to help Schenn score late in the first period and couldn't clear a rebound early in the second, setting up Schenn's second goal that put the Flyers ahead 2-1.
Pavel Datsyuk tied it 2-all a few minutes later on a power-play goal from the left circle.
MacDonald didn't have much of a chance to stop Maxime Talbot's go-ahead goal late in the second period. Talbot got behind Detroit's defense and flipped the puck past MacDonald.
Henrik Zetterberg's one-timer a couple of minutes later tied the game at 3 entering the third.
The Red Wings are hoping Howard will return Friday night at home against Nashville.
Fired-up fans at Joe Louis Arena wanted to see a league mark matched and one of them hurled an octopus on the ice during the national anthem, an act usually reserved for a playoff game.
Niklas Kronwall kept them happy, putting Detroit ahead 1-0 midway through the first period with a one-timer from just inside the blue line on a power play. The puck got past Bobrovsky before he could see it because Todd Bertuzzi was obstructing his view, standing in front of the crease.
Schenn was in the perfect spot to score into an open net late in the first period when MacDonald didn't get much wood on a clearing attempt from behind the net, turning it over to Danny Briere, who quickly got the puck to Schenn in front of the net.
Schenn's second goal gave Philadelphia its first lead 5:22 into the second from the bottom of the left circle, beating Zetterberg to a loose puck that was poorly cleared by MacDonald off a rebound.
