Currently there are 2 native SuperZoom lenses for Sony A7 IV and all of these lenses are autofocus (AF) type.
A7 IV also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on A7 IV.
Since Sony A7 IV has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 2 SuperZoom lenses with Weather Sealings.