The Twins are likely to carry seven relievers. Perkins and Burton are set. Duensing might be given a brief look for the rotation again, but will probably end up in the bullpen. Burnett is in the bullpen unless he pitches his way out of it. Swarzak probably has a job if he is healthy and ready to go opening day. That leaves two spots with a bunch of pitchers competing for them.
The players with and "S" are at least nominally in the competition for the fifth spot in the rotation. With perhaps the exception of Harden, none of them are very likely to end up there.
The groups are ranked by how likely they are to be in the bullpen. They are also ranked within each group, but those rankings will change from day to day as spring training competition proceeds. I will update this ranking as spring training progresses and we see how people perform.