This style of dial is usually found in the 11063 case, the thick case which was the last Autavia model. However, the dial was also used in the 11630 case - which you can see in the the 1978 catalog (I think this was the first year) and then in later catalogs. What is quite weird (I never noticed it before) is that in the 1981 catalog, there is an 11630 case with this dial, and a 11063 case with the more standard - and older - dial.
Anyway, coming back to your watch, it is true that this style of dial was not used in an 1163 case, which is what the photo looks like. Perhaps the dial was switched by Heuer at service, but in any case it is a really nice watch. If it bothers you, you might be able to find an 1163 style dial and hands, they are not so rare. Maybe a trade for your dial and hands which look to be in nice condition. But anyway the watch looks great, enjoy.