The Sequence of Pages Editing when Publishing
In case of publishing pages the sequence of editing must be the following:
1) Add desired web parts to the page.
2) Configure them.
3) Add Virto Tabs web part (do not configure it).
4) Check In the page.
5) Configure Virto Tabs web part. Option "Group web parts from" must be set to "All web part zones on page". If you do not want to place any web parts into tabs, just remove them explicitly from the tabs.
Every time you add a new web part to the publishing page, you have to check in the page to allow Virto Tabs web part seeing it in the list of web parts page.