Post published anyway even if publish is set to no

We are experiencing an issue with some posts – some scheduled some other not: even if we press “no” for the autopublish option in the post edit screen, the post is published anyway on twitter. I checked the settings (both twitter and general) and they are set as follows:

Twitter -> Enable autopublish -> Yes
General -> Publish wordpress “posts” -> Yes
General -> Select post types… -> “flashes” and “episodes” are checked (episodes is the one that is causing the issues the most)
General -> Select the categories… -> All
General -> Auto publish on post/pages/types edit… -> Disabled
General -> Auto publish on creation of post/pages/types -> Enabled

Which could be the problem?
Thanks.

The page I need help with: [log in to see the link]