An aperture value of f/5.6 gives you a shutter speed that is three stops faster then the speed needed for f/16. An aperture value of f/16 is very small and will usually cut down absolute sharpness compared with f/5.6, due to the effect of something called diffraction. However f/16 will have substantially more depth of field than will f/5.6.
If you use the "sunny 16" rule by setting the shutter speed to1/100 of a second and use and Use an ISO level of 100,your shutter speed will be too slow for many types of action photographs, so it would be far better to use f/5.6 and a shutter speed that is three exposure value levels faster than 1/100 --or in other words 1/800 of a second at F5.6
The idea that there is a best aperture or even a good average aperture to use is like saying that, "driving in third gear is the best"...