You specifically mention mushrooms, so it sounds like you've got a preference for natural substances, which is a good sign. I guess you've also read up on their shamanic history. If not, do an internet search for Maria Sabina, as well as Richard Evans Schultes. There are some books on ayahuasca which can be a good preparation for using mushrooms. Also Aldous Huxley's descriptions of the psychedelic experience in Doors of Perception and Heaven & Hell are good to read beforehand. These people used psychedelics responsibly and lived productive lives, so if you're a young student, you can learn a lot from them. Check out
MAPS, the Multidisciplinary Association for Psychedelic Studies, and see what they're doing in different academic fields.
As far as having the experience is concerned, I can't say whether 16 is the right age or not. I was 17 when I had my first experiences, and I'm glad I had the opportunity. My first trips were done without much knowledge however, so if you've got the chance, take your time to read up about all this.
When you have your first experience, it might be preferable to stay inside, so as already mentioned, make sure unknowing parents can't bump into your session. It's also a good idea to ask a trusted friend to remain sober while you have your first experience. He can hand you a drink every now and then and passively, silently be there for you, or actively when needed, for example to help you go outside towards the end of the trip, to a nice park or something like that.
What do your parents think about psychedelics, or related things like psychology, shamanism and spirituality?