length n = 248
dimension k = 6
alphabet length q = 4

minimum distance d = 178

generator matrix:
00000100000111110000000000111111111100000000001111111111000000000011111111111111111111000000000011111111111111111111000000000011111111111111111111000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00001000111000110000111111000000223300001111110000002233001111111100000000111111222333001111111100000000111111222333001111111100000000112222233333111110000011111111222222333333111112311111111222222222223333333333311112223331111222222223333333312233
00010001011011000011002233002233000011110000230000230302110011223300112233001112001003110011223300112233001113002001110022233300222333230001200013111231112300023333012222011113111132111122233111223333331122222233312231121332233112233331122223332312
00100011100001011123230000000302030200230023322233000000121211010311021103020020110033131311020111030211030030022110232301201311033022000330302202233211232312320113220011301130111312123323323233221112232311122311331231223112323233311232311232221323
01000010101110002300320302233020000023322300000302003020112102103312200133110201010300113103221013302201110301200010113230320223303202322010030100213113211132303030221202110311113112132321211323131231333212323212232212113133322321323313223121233221
10000011010100103232003020320000302032003232003020320000211120113021111030202000101330311130201131112010303000220101321133022032210310003303022020231233232132121301102120133001131112133233232221313212321132113321232132211313232333132122232312123132

projective group of automorphisms generated by:
000010
010000
100000
001000
000001
000100

010000
000001
000010
001000
000100
100000