length n = 179
dimension k = 5
alphabet length q = 4

minimum distance d = 131

generator matrix:
00001111000111100001111000111100011110001111000011110001111000011110111111011111101111110111111011111101111110111111011111101111110111111011111101111110111111011111101111110111111
00110011011001100110011011001101100110110011001100110110011001100111012223101233310122231012333101222310122231012223101233310122231012333101222310123331012333101222310123331012223
00010101001010111232323123232312323231232323112323231010101112323230312330021022303123300210223031233011200211120021113100311200211131003200112223220122322012323013330031133230133
11332222122333300001111000111112233331332222221100003332222332233330111111123003213230202023230303023201111111322300123023022002332023023011111112300322023320220302320230323032302
02110000311000012332222322333323322223223333132233330001111132233333030232202332030302322023230303023222002332200233330230222002333302302132032001111110111111011111112302030111111

projective group of automorphisms generated by:
01000
11101
00001
11010
11001