length n = 55
dimension k = 5
alphabet length q = 5

minimum distance d = 40

generator matrix:
0000101111111111111111111111111111111111111111111111111
0001010144111441111222333112223334411222222333333444444
0010014401114141233122113231231243424122334224444123333
0100044014141143213212131342413213233434144342222231234
1000041440411143231221311233424131242343433411234342222

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

10000
00100
01000
00001
00010