Currently there are 8 native SuperZoom lenses for Panasonic GH7 and all of these lenses are autofocus (AF) type.
GH7 also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on GH7.
Since Panasonic GH7 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 4 SuperZoom lenses with Weather Sealings.