It's already pretty easy to do this without Carbon -- at least on Windows.
1. Hit print screen on your keyboard
2. Select the rectangle area that you want to capture
3. Paste it into a tweet
You don't even need an intermediate image on your computer unless you wanted to crop it before sending it to Twitter.
You may also want to consider a step 0 which is to temporarily bump up the font size in your editor to make it more readable in a tweet.