length n = 27
dimension k = 4
alphabet length q = 9

minimum distance d = 21

generator matrix:
000111111111111111111111111
111000116688122112222346688
168168060108212261236281248
618618601080221626321282184

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001