I would love to see tabbed editing implemented in the native pythonista editor, but in the meantime I've come up with a work-around. Tabs is a sidebar that allows you to add the current file as a tab (it will ask you to name the tab). There are probably better ways to do some of these things (I'm still learning a lot about programming), but it works. There are still some things that could be improved, so I welcome advise and tips for improvment. Feel free to improve it yourself (and share it back).
Just to note: this app will create a database file to store your tabs in. This allows you to close it and resume your session later without losing your tabs. It's meant to be in your actions list, so you can quickly reload your tabs. If you move or delete a file one of the tabs is referencing, it will throw it off. Just delete the database file and rerun it. I may try to fix this in the future.