That looks like fungus. Here's some information from the Zeiss website regarding fungus. If it is fungus you may be able to halt its progress with an ultraviolet light source (removing the lens and placing it in strong sunlight is one thing to try). If it's not affecting your images too badly then live with it as fungus can permanently and irreparably damage anti-reflection coatings - no real repair is possible once that's happened. As long as you avoid scenes with very high contrast and use a lens hood you should still get usable images.
It's worth keeping some silica packs with your camera gear if you intend to put it away for a period of time. These act as a dehumidifying agent and help to prevent fungus starting in the first place.