One thing that has become increasingly popular among avid Twitter users is to start a daily newspaper using Paper.li. This is an excellent way of giving your followers lots of interesting reading material.
Some of these dailies get a large number of views, so it's great if you can become a regular, or even occasional contributor to some of them. If you're pretty active on the site, have a decent number of followers and tweet interesting content then this is certain to happen eventually.
But you can increase the odds of this occurring by looking for these daily newspapers on Twitter, then following their creators. The favourite phrase that people use to announce their latest edition is to tweet "The (insert title here) Daily is out!". Because these editors often use a specific keyword in the paper title, then all you have to do is search for that phrase, inserting a keyword describing a subject you tweet about often.
The other way of finding them is just to search for those keywords in Paper.li itself. This has the advantage of showing how many views each paper is getting as well.
If you use these methods you're sure to get more and more of your tweets included in these papers, thereby substantially lifting your profile on Twitter. If you're primarily tweeting blog posts then of course you'll get extra clicks on them. Google takes Twitter activity into account so this should help a bit with SEO as well.
Of course, if you do get included, then it's a good idea to retweet the newspaper edition to your followers. That's a way of saying thanks to the paper's editor as well as increasing the odds that he'll include your tweets in subsequent editions as well.