I used to do that on my blog. Example: http://beza1e1.tuxen.de/team_building.html

Stopped doing it as I got negative feedback about it being annoying. I never tracked how many tweets I get out of it though. So if you aim for popularity (unlike me) it might still be worth it.

It was one of the big reasons I used RestructuredText as markup language for my static website generator. It is extensible enough to make these tweet-blocks with just:

    .. tweetable :: Psychological Safety is THE core factor for Great Teams says Google