Most bigbox grab bars are not on sixteen inch centers. And yes, you need to screw the bar to solid wood like studs. I had a similar need a couple of years ago and found this Really Good solution. Available in sixteen and thirty two inch versions. Even if you let a contractor install it, I definitely recommend the 'extendahand' bar. Many bars are too close to the wall for good leverage. This solves that by folding up and away from the wall.