If there is embedded media (photo/video) display it in a box to the right. The tweet is a clickable area that leads to the box to the right. Clicking on the tweet back hides the box. Clicking on the media takes to a new window to the source.
If the tweet is part of a thread, display all related tweets in a box to the right. Clicking on the tweet again closes the box. Related tweets to be displayed can be from any source (whether the user follows those who tweeted those related tweets or not).