length n = 109
dimension k = 5
alphabet length q = 4

minimum distance d = 79

generator matrix:
0000000111111100001111111111001111100011111111111000111111111110000111111111100001111111111010011111111111111
0011111001123301110001122233000113300100112222233011000111223331111111222233311111112222333121101133011223313
0102223230112300132221202302113030211100000001111101133122230010012011112301202230220133012101321212100231331
0300123212112110220011213330010103012301021331203220202301321220133113332000110220030211313021013303003232222
1313221133133112001222201302310331123231303031001112010010000010330131020222201010301212222312113130110100132

projective group of automorphisms generated by:
10330
02330
30301
32123
31023