length n = 24
dimension k = 4
alphabet length q = 7

minimum distance d = 18

generator matrix:
000101110111111111111111
001010161015125522442345
010016605305533514126116
100066015130331442242435

projective group of automorphisms generated by:
0100
0010
0001
1000

0010
0001
1000
0100