Congratulations on joining a very special club!
I read your symptoms and thought "SNAP!". I was exactly the same. I wasn't sick at all during my pregnancy although I felt a bit nauseous from time to time. I felt tired pretty much all the way through (it gets better after they're born but they can be pretty tiring!) and blumming starving until I got to the 3rd tri and couldn't fit any food down and lost all my appetite.
Lots of people expect you to be extra sickly or extra big with twins, but I didn't find it the case nor have other twin Mum's I've been in touch with since.