The Lightning tied an NHL record with 62 wins last season (1995-96 Detroit Red Wings) and won the Presidents' Trophy as the top team in the League before being swept by the Columbus Blue Jackets in the Eastern Conference First Round.
"It's tough to really point at one thing," Hedman said. "The NHL is a tough league. It's tough to win and having the regular season that we had, we had that for a reason, but we put ourselves in the position that we were the favorites to win. We played a team that played us well, played us hard, played us physical ... just a matter of small details in the game that they did well and we didn't. It wasn't good enough. We learned from that and will try and improve this upcoming season."
Hedman said the Lightning wouldn't take their foot off the gas during the regular season, but that all that matters is how they perform in the playoffs.
"If we go and win another 60-plus games, that's not going to change the end goal that we have," he said. "The first goal that you have as a team is to make the playoffs ... and work toward what we all want, to win the Stanley Cup.
"As a player, I think it's important for you to learn from the setbacks and learn from your mistakes and take that with you, but you can't change what happened. That's in the past and all you can do is do better next time."