If you want to get "general" data (without a search) you can only get a small sample - that's what we use for hashtagify.me - but it's also possible to download

If you want to get "general" data (without a search) you can only get a small sample - that's what we use for hashtagify.me - but it's also possible to download pretty much all tweets for a specific search. Without guarantees, of course!