Stock tire size: 215/60R15
Tire width: 215 mm/ 25.4 mm/inch = 8.5"
Tire side wall height above and below rim: 215 mm x .60 = 129 mm = 5.1"
Tire height: (5.1" x2) + 15" rim dia = 25.2" overall stock tire height.
Use the above to calculate your ideal tire height and width.
For general comparison between tire size options within the same rim size use the following rule to keep roughly the same height and change the width: Whatever you do to the first number in increments of 10, do the opposite to the second number in increments of 5; 205/65R15, 215/60R15, 225/55/R15, 235/50R15, etc.
A 225/55R16 is a start at 25.7" tall and 8.9" wide. From there a 235/50 or, 55.
Good luck and don't over do it with the tire size by getting to far away from stock tire height, it can affect offline performance and fuel economy efficiency threshold (taller tires = reduced fuel efficiency in town and potentially better economy on the hwy)
[This message has been edited by Joseph Upson (edited 03-26-2016).]