You must like your tomatoes, I've only planted 5 this year and one cucumber plant.
Last year I had a massive yield from a tomato I was told about by some of the old-timers down the allotment.
The tomato plant is called Shirley F1's, I got that many last years of two plants I was sharing with my mum and my neighbors.
I use canes to hold mine up and like you said the weight has been an issue for me too.
I grow a lot of tomatoes because I can a lot of them for use in the fall and winter. I also make tomato sauce from some of them, and that tends to take a lot of tomatoes. Strangely enough, I don't really eat very many raw tomatoes in the summer, I mostly use them for cooking.