length n = 120
dimension k = 7
alphabet length q = 3

minimum distance d = 74

generator matrix:
000000000000000000000000111111111111111111000000000000000000111111111111111111111111011111111111111111111111111111111111
000000000000111111111111000000000000112222000000111111111111000000000000111111222222101122211111122111111111112222222222
000111111111000000000122000000000122020012111111000000112222000000112222001112000012221201211111212111111222221111122222
111000000122000112222000000000122212000000001222111122000012001122110012020020000210112221011112112111222111221112211222
000000122212122020012000112222000000000000121001011201020112110201021202200000112000120212111121112122112112121121212122
122122212000000201200000020012000000201200112121102120202000122020001200110201010200222120111211112212121121121211212212
212212000000212000000212201200212000000000210120220021112100211121200010002000102002212012212111112221211211122111212221

projective group of automorphisms generated by:
0000100
0010000
0000010
1000000
0100000
0001000
0000001

0000010
0000100
0010000
0000001
0100000
1000000
0001000