Earlier quoted context omitted.
Considering there's at least 400GB of data generated per day, I don't think it'll be readily available for the public as a download.
Jeez, 400 GB of text per day? How the hell? EDIT: That's 11.5k tweets/sec. How do you get eleven thousand people to tweet every second?
I took a random tweet on my timeline, and the JSON representation, with added metadata, weighs 8740 bytes.
With this figure, you would "only" need 500 tweets/sec to get 400GB a day.
There's a lot of people on Twitter, and a lot of bots, so that doesn't seem unreasonable to me.