length n = 60
dimension k = 5
alphabet length q = 5

minimum distance d = 44

generator matrix:
000000111100001111111111111111111111111111111111111111111111
000111000101110001441111112222223333334411222222333333444444
011001001010440140041122331122341123342324122334224444123333
101010010041044014002313121324121213432333434144342222231234
110100100014104400103231213142122114332342343433411234342222

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

10000
00100
01000
00001
00010