length n = 126
dimension k = 6
alphabet length q = 4

minimum distance d = 88

generator matrix:
000000000000000111111111111111000000000011111111111111111111000000000011111111111111111111011111111111111111111111111111111111
000000111111111000000000112233001111111100000000111111222333001111111100000000112222233333101111111111122223333111122233312233
111111000000123000000123030201110011223300112233001113002001110022233300222333230001200013110111111233312221113122311213332312
000123112233000000123321000000131103021113110201030030220011231103302223012013000333002220111011133211321221131312322111323132
123321030201000123000000302010111330220131032210110301020100112330320232303202321020010300111101313213122121311322112133133221
321000302010321321321000000000313111201011302011303000202110323221031011330220003300322002111110331231122213111321321231121323

projective group of automorphisms generated by:
200000
002000
000200
000002
020000
000020

002000
200000
020000
000002
000200
000020