length n = 106
dimension k = 7
alphabet length q = 4

minimum distance d = 69

generator matrix:
0000000000000000001111111111111111111111111111111111000000000000000001111111111111111111111111111111111111
0000001111111111110000000111111122222222222233333333000001111111111110000000111111122222222222233333333111
0001110011112233330000223011223300011122233311112233001110011112233330000223011223300011122233311112233000
0011132301331122330023331022011100200101212311230313011132301331122330023331022011100200101212311230313111
0110133102110103131233123002231200102201130213121330110133102110103131233123002231200102201130213121330000
0100231300122213303122010001120012130031231332230000100231300122213303122010001120012130031231332230000222
1222321123112213123122121231331111312211122331211312333132231223321231233232312112222123322233112322123123

projective group of automorphisms generated by:
0000010
1000020
0100030
0010010
0001030
0000120
0000001