On Twitter, it's not about going directly to the news, but following certain people, like journalists, OSINT investigators, etc. They post a lot of stuff there, and often the newspapers take their stuff from those Twitter accounts. It's about choosing the right people to follow, since there is also a lot of garbage there as well.

However, for example the recent MH17 ruling was based on evidence that these OSINT investigators like Bellingcat gathered searching around social media, and they usually post their findings first on Twitter. From there, the major newspapers pick it up.