16×24 matrix with entries representing signed permutations of 4 elements, i.e. elements of the hexadecachoric group i.e. permutations of the tesseract 
Even permutations have a white and odd permutations have a gray background.
The numbers are the ranks in the weak order of permutations.
(see here)

Compare v:Full octahedral group#8×6 matrix for the corresponding 8×6 matrix, whose entries are permutations of the cube.
Own work
WatchduckYou can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".