It is made possible by web-application Blackbird Pie and works very easy;
Just copy the link to the tweet in the bar and 'bake' it into a HTML script that u can use on your blogposts etc.
One of the biggest advantages IMO of this is that the links stay clickable, and it looks stylish.
an example;
It looks like America is working on cars that run on sea-water ;) #oilspill