It's also interesting how one of your first tweets was that you made a mistake and you wanted to edit your tweet. I get that all the time, and I wish Twitter included an 'edit within the first 60 secs' feature.
You can delete tweets, and it seems not that uncommon to quickly delete an erroneous tweet and replace it with a fixed version. This is mildly frowned on, because some people's clients will poll before you manage to delete/replace, and then they'll get notified twice if they have some sort of "buzz my phone on tweet" kind of setup. (I think that setup is getting less common, though.)
