Each person is different so there is quite a range of what is normal and healthy. If you consult the Body Mass Index calculator located in Appropriate Height And Weight you will find that your BMI is within the healthy range.
You did not mention your age but teenagers going through puberty often go through growth spurts that are completely normal and not cause for alarm. Sometime you can get a growth spurt in weight that is initially not followed by a surge in height. However if you are patient you will find that your body has a way of working these things out.