Lynne Sladky, Associated Press
MIAMI — Jason Taylor stood at his 10-yard line, motioning with both arms to coax more noise from the crowd as the Miami Dolphins tried to hang on to a late lead.
It was Taylor's way of waving goodbye.
His penetration on the next play harried Mark Sanchez into an interception that helped seal the victory, and Miami eliminated the New York Jets from playoff contention by winning 19-17 Sunday.
Taylor, the NFL's active sacks leader, played his final game in a 15-year career. He didn't add to his sack total of 139½, but he lined up at tailback for the final two plays as the Dolphins ran out the clock, then was carried off the field.
"It was a good way to end this thing — to beat your No. 1 rivals in your home stadium in your last game," Taylor said during an emotional postgame news conference. "I'm very, very happy and blessed to be where I am."
Taylor provided a rare moment of celebration for the Dolphins (6-10), who completed their third consecutive losing season, their longest such stretch since the 1960s. They fired coach Tony Sparano on Dec. 12 and have begun the search for a successor.
One small consolation: Miami tied the NFL record for most wins after a 0-7 start.
"Obviously, we wanted more Ws," quarterback Matt Moore said. "It's a time to learn from, and there were a lot of mistakes to go back and correct. But there are a lot of positive things as well. It's hard not to feel good after a win, especially against the Jets."
The Jets (8-8) failed to fulfill coach Rex Ryan's pledge to win a Super Bowl title. Mark Sanchez threw three interceptions, and New York gave up six third-down conversions during the Dolphins' 21-play, 94-yard drive for their only touchdown.
The Jets came into the game needing a win along with losses by three other teams to reach the playoffs. Instead, they finished the season with three consecutive defeats, a big step backward for a team that reached the AFC championship game each of the past two years.
Ryan said he didn't regret his guarantee, even if the Jets fell way short.
"I'm always going to chase the Super Bowl," Ryan said. "If you don't, you're going to be a loser. You have to have the guts to go for that."
The Jets again were victims of their own mistakes, with each interception leading to a field goal. They've given up 126 points off turnovers this year, the most in the NFL.
Sanchez's final misfire came at the Miami 10 with 3 minutes left and the Jets trailing 16-10. Reserve linebacker Marvin Mitchell stepped in front of intended receiver Shonn Greene and rumbled 55 yards to set up a field goal.
The 305-pound Starks came away with two interceptions.
"The interceptions obviously were backbreakers," Ryan said.
Taylor, who said Wednesday he would retire at the end of the season, sent the crowd into pandemonium when he scooped up a fumble and scored with 2½ minutes left. However, a replay review negated the turnover, with the officials determining the ball carrier was down before the fumble.
The Jets then scored with 1:15 to go on Sanchez's 10-yard pass to Patrick Turner, but Miami's Brandon Marshall recovered the ensuing onside kick to seal the win. Taylor joined teammates on offense for the final two plays.
"Playing this game was a privilege," Taylor said. "It was so good to me. I'll miss it. I'm the luckiest man in the world. For the last 15 years I've been able to play a kid's game and get paid to do it."
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