Currently there are 2 native SuperZoom lenses for Sony A7 and all of these lenses are autofocus (AF) type.
Sony A7 doesn't have a sensor based image stabilization system but 1 of these SuperZoom lenses features optical image stabilization.
Since Sony A7 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 2 SuperZoom lenses with Weather Sealings.