Need advice with my life?

I'm 16 years old and i spend every day alone :( both my parents and my brother work all day so i'm always home alone. I don't have any friends because i'm surrounded by the wrong kind of people. All of my peers do drugs, drink, and do stupid things like that and i'm not like that. I try to be friends with some of them but they always ignore me and go hang out with other people instead the only time they talk to me is when they have no one else to talk to. My brother is 21 and he never wants to hang with me because all he wants to do is be with his girlfriend. I'm too shy to look for my own girlfriend because i have anxiety so i get nervous a lot. I'm still in high school and get As and Bs and i want to be a doctor and i'm hoping to go to medical school after college. I can't join any sports or clubs to meet people because i go to a private school and its only 3 hours long so they don't have any sports or clubs. I feel depressed a lot because i haven't found the right type of friends or the right girl and i'm always alone can some one give me any advice please?