length n = 56
dimension k = 5
alphabet length q = 4

minimum distance d = 40

generator matrix:
00001001110011101111001110011100111011111111111111111111
00010010130101210123110031100111001101221111231223322223
00100101201030111320130202301023010330131123112123323333
01000132003230013101201030330220203223031323211211311222
10000230033102031021032101032001230122301321232113133131

projective group of automorphisms generated by:
00001
00010
01000
10000
00100

10000
01000
00100
00010
00001