With just looking on the phone I would say its a bit over sharpened which causes a lot of halo effect around every object with some contrast. Do you shoot jpeg only? Which setting do your D4 use for jpeg size and compression? Set it for a suitable size but Highest quality and optimum quality not file size for compression.
If you shoot raw and develop it with one of Nikons softwares. Does it look better? Remember that the camera settings will be parsed, used and displayed in the software.
Petter -Ever wondered where gadgets go when they die?