Wanna go home early

hi, im and exchange student from Australia currently in Germany and I’m finding it really hard to form deep connections with the other girls at school, I’ve been here for 6 months and I can say I have made a lot of friends but nothing that I see lasting once I go home, no one asks to hang out on the weekends and I miss the girls nights, sleepovers and everything about my friends in Australia. Now all I can think about is how much I wanna go home. I am so grateful for everyone and everything and wouldn’t take this experience back no matter what. I feel like if I just made strong connections with the girls at school I would feel fine but none of them have ever seemed to fully let me in, they have been in the same class for many years now and they just aren’t interested it feels like. I feel I have no support and the people back home don’t understand. I am also in a small village and everyone is living far away from eachother and I feel so bored, lonely, unmotivated. I never know what to do, I’ve joined a few out of school activities but nothing can keep my mind off of home. High school here is very different too, I’ve been very limited with the amount of people I have been able to meet as I only have one class and even my class just keeps to themselves and barely socialises outside of it and High school is so different to Australia, I don’t feel connected to the school at all, in Australia we play in sports teams, theres competitions, I know everyone in my grade, I have no trouble making new really close connections. I know I’ll be staying for at least 3 more months but as for the last month I feel like I would be better off at home.