I have the 16-85DX which I've used on a D3200 and a D7100, and it's pretty decent. However, it's not as sharp throughout its range as the kit 18-140 that comes with the D7100 and D7200. Granted, mine was a well used gray market example, but it also required some focus adjustment. It's a very nice traveling range, and gives good results, but if I were a bit freer with the buckazoids, I think I might go for the newer 16-80, in part for the faster apertures, as well as hoping for a tiny bit more sharpness. The extra millimeters on the long end aren't very important when you can crop a 24 megapixel sensor and not miss much.
I do like that extra two millimeters of width for traveling, but if you don't think you'll need the extra width, you might consider the 18-140.