The generator matrix

1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 0 0 0 2 0 2 1 2 1 0 0 2 1 1 0 1 0 1 2 0 1 1 1 2 1 1 1 1 2 2 1 1 0 1 1 2 0 1 1 1 0 2 1 2 1 1 2 2 1 1 0 2 1 1 0 0 1 1 1 1 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 1 1 1 1 1 1 1 1 1 1 1 3 2 1 2 3 3 3 2 1 0 1 3 0 2 1 2 1 3 0 2 1 1 2 1 2 0 1 0 1 3 1 2 0 3 1 0 1 2 0 1 1 0
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 1 2 1 2 1 1 1 1 1 0 1 2 2 2 2 0 3 3 0 3 2 0 0 1 3 3 0 2 2 1 1 2 0 0 1 1 3 1 0 2 0 1 2 0 0 1 0 0 1 1 2 1 0 2 2 1 0 3 1 3 3 2
0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 0 1 1 1 0 3 2 2 3 2 3 3 2 0 0 0 2 3 1 2 2 3 1 1 2 0 1 2 3 2 3 0 1 2 0 0 1 0 1 0 2 2 2 3 1 3 2 2 3 3 0 1 1 1 2 1 3 0 3 3 2 1
0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 1 3 3 0 3 0 3 2 3 2 3 3 3 0 1 3 1 0 0 3 2 2 2 3 0 0 3 0 1 0 3 1 1 2 3 0 0 2 1 1 1 1 2 2 0 3 2 0 2 3 2 1 2 1 0 0 3 1 3 1 1 2
0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 0 2 1 1 1 0 1 3 0 2 2 1 3 1 2 2 1 1 1 0 2 2 1 0 3 3 3 0 2 1 3 0 3 3 1 3 0 0 1 0 0 0 0 0 0 2 1 1 1 1 3 3 2 2 1 1 0 3 0 0 2 1
0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 3 3 1 1 2 1 3 1 1 1 3 1 1 0 3 0 3 2 0 2 3 3 3 1 0 1 3 3 3 1 2 1 2 2 3 0 3 3 2 0 2 1 2 3 0 0 2 0 3 2 3 0 3 1 2 2 3 0 1 2 3 0
0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 2 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 2

generates a code of length 82 over Z4 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+90x^67+204x^68+334x^69+480x^70+608x^71+718x^72+862x^73+1062x^74+1184x^75+1293x^76+1526x^77+1593x^78+1664x^79+1853x^80+1862x^81+1920x^82+2008x^83+1852x^84+1738x^85+1753x^86+1476x^87+1311x^88+1204x^89+1045x^90+824x^91+625x^92+530x^93+387x^94+312x^95+186x^96+118x^97+66x^98+22x^99+18x^100+16x^101+11x^102+4x^103+3x^104+2x^105+1x^106+1x^114+1x^130

The gray image is a code over GF(2) with n=164, k=15 and d=67.
This code was found by Heurico 1.10 in 149 seconds.