length n = 22
dimension k = 5
alphabet length q = 5

minimum distance d = 14

generator matrix:
0000001111001111111111
0000110023110011223311
0011002300111303220111
1123000000133111021011
2300230000311130201111

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

00010
00100
00001
01000
10000