We're talking picks after the 3rd round. Minnesota was actually 25th of 30 teams (they have since moved up a little bit..maybe?). Let me see if I can find that record:
http://www.defendingbigd.com/2014/1...ton-oilers-columbus-blue-jackets-dallas-stars
This was at the beginning of the season, so Haula and Kuemper didn't count at that time.
So far, it looks like this;
Dallas Stars 47 9 19.15%
Ottawa Senators 52 9 17.31%
Columbus Blue Jackets 53 9 16.98%
Nashville Predators 57 9 15.79%
Pittsburgh Penguins 46 7 15.22%
San Jose Sharks 52 7 13.46%
Toronto Maple Leafs 52 7 13.46%
Tampa Bay Lightning 53 7 13.21%
Colorado Avalanche 47 6 12.77%
Buffalo Sabres 55 7 12.72%
New Jersey Devils 49 6 12.24%
LA*Kings 58 7 12.07%
New York Islanders 59 7 11.86%
Anaheim Ducks 43 5 11.63%
Edmonton Oilers 53 6 11.32%
New York Rangers 47 5 10.64%
Montreal Canadiens 48 5 10.42%
Calgary Flames 49 5 10.20%
Carolina Hurricanes 47 4 8.51%
Washington Capitals 49 4 8.16%
Philadelphia Flyers 50 4 8.00%
Chicago Blackhawks 63 5 7.94%
St Louis*Blues 51 4 7.84%
Arizona Coyotes 43 3 6.98%
Minnesota Wild 46 3 6.52%
Detroit Red Wings 52 3 5.77%
Florida Panthers 53 3 5.67%
Winnipeg Jets 56 3 5.36%
Boston Bruins 43 2 4.65%
Vancouver Canucks 44 1 2.27%
Kind of a dirty mockup. I don't know why they have their cut off at 50, they count everyone they drafted (including players that didn't sign OR were traded) But as it stands, Minnesota only moved up one to 24th/30th for picks making and playing in the NHL more than 50 games between 2005-2014.