This is just a personal redesign of Twitter. I preferred reading from left to right with a vertical menu on the left and the information on the right tweets. Tweets are visually separated from each other for reading convivial. Private messages, favorites, notifications are displayed in the stream as tweets (no pop-in). Lists and favorites are accessible directly from the left menu.
This prototype was made with Axure RP.
Comments, feedback, likes and follow are welcome
Have a nice day :)