I just gave example of one of my pages. Using twitter APIs you can search for related tweets and make them part of your page content.
Getting links from twitter is just a fraction of what the whole promotion should be. In a sense it shouldn't even be in a webmaster to do list. Just create your site's twitter page and make sure it gets updated. Add twitter button to your site's pages and make sure to provide great quality content within your site. Next thing you know is that people would twit your contents without you even knowing about it.
After all, the whole online marketing and link building thing shouldn't even be in a webmaster to do list