Sat here on June 26th last season for a White Sox game. Row 11.
Those seats were great. With seats in row 11, we were still about 20 rows from the field but it doesn't feel like it.
These seats aren't padded, they're the standard seats you'll find all over the ballpark.
You can easily reach these seats from Gate 29 (Target Plaza area). Just enter and take a slight left, you'll see section 106 on your right. There will be no sneaking into these seats, the ushers keep their eyes peeled for unfamiliar faces.
Near these seats is a Halsey's Sausage Haus stand that has some of the best Italian sausage I've tasted. That's saying a lot considering it's ballpark food. Target Field also has a lot of local beers on tap as well, you just have to know where to find them.
P.s - If you're going to be buying Twins gear, don't buy it from the pro shop. There is an actual Target about three or four blocks from the stadium and it has everything you could possibly want for much cheaper.