length n = 124
dimension k = 5
alphabet length q = 4

minimum distance d = 90

generator matrix:
0000000111111111111000011111100001111111111111111001111111100001111111111111111111111111111111111111111111111111111111111111
0111111000000112233011100012311110000112222233333110011223311110000112222233333111231111112222222333333311112222222233333333
1001223001123030200101202301013332233020003311223231123020322331123230023300223113211122331122333112223322331122333311222233
2133020230301002001230110320021221222331330002230232300213123232332002330123012131212313121323123121232323232333112323112322
2310201213020300010132021000332233313203231220002112323101031123232323103012200311213231213132123211233233223213233132231212

by truncation of 125