I'm having a hard time imagining what you are trying to do, but maybe adding a tween behavior to an object, putting everything else into a family, add the pin behavior to that family and pinning that family to the tweened object? So...
1. Tween object 20 pixels
2. Pin family to the tween object
3. (if needed) Wait however long the tween takes and then Unpin objects once tween is done