I was like this too. It's a shock to the system to suddenly be away from home, and can be hard to integrate if your world doesn't revolve around drinking and clubbing. I understand and remember what it's like.
The first thing I'll say is stop calling home as often. Homesickness doesn't go away while you're still pining for and comparing Uni life to your home life. I remember trying to only call my mum if I had something good to tell her - this meant I not only called her less, but I made sure I achieved something positive. Even if it's just that you've made your first ever lasagne, or figured out the launderette, or came third in a pub quiz!
Secondly, things get better after Fresher's Week. In the first week, there are no lectures and it really is just about partying and socialising. Once you meet others on your course you'll probably find you have more in common with them than your flatmates. Also, since Fresher's Week is only one week, I'd try and show willing a couple of times and go out clubbing, even if only to have something to laugh about and bond over with your flatmates the next day.
Try and establish and routine and familiarity as soon as you can. Go and explore the campus and local area. Something that helped me a lot was just hopping on random buses (I was in London but you could do the same in most places) and seeing the local area that way. I got to know where things were and felt orientated more quickly. It's surprising how much more in control you feel when you know where things are. It also helps with making friends when you can show others around.
Uni won't ever feel like your parents home, but it will start to feel like your own little home eventually, I promise.