Are there things we shouldn’t tweet about?

Mathew Ingram at GigaOM wonders, given some recent controversy over a Boston reporter tweeting from a public figure’s funeral, whether there are some things we just shouldn’t tweet about, not even if you’re a reporter.

He notes:

All of these incidents may seem like classic cases of what Twitter critics call “over-sharing,” but the lines of what should remain private and what should become public (to the extent that a Twitter post is public) are continually being redrawn, and in many cases differ from person to person.

A few of you have expressed concerns in our meetings over what should and shouldn’t be tweeted. Given these examples, where do you think we should draw the line?