Increase of height is a very complex matter: including genetic, nutrition, and yes exercise also plays a significant role.
Height spurt take place mainly during the period of puberty which range from 12 to 16 years plus minus 2 years in male and female.
You are sixteen now still u have have two years in that time your height stabilises to more or less equal to current height.
So have a good nutritious diet have a nice aerobic exercise not gym, at Least 20 minutes a day.
Next Steps
In case of any further quarries feel free to ask.