The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+31x^66+118x^67+240x^68+326x^69+427x^70+616x^71+793x^72+950x^73+1010x^74+1096x^75+1290x^76+1438x^77+1655x^78+1618x^79+1831x^80+1944x^81+1849x^82+1980x^83+1835x^84+1774x^85+1542x^86+1528x^87+1474x^88+1158x^89+1044x^90+924x^91+660x^92+478x^93+399x^94+230x^95+164x^96+104x^97+94x^98+74x^99+31x^100+16x^101+9x^102+8x^103+4x^105+4x^106+1x^120

The gray image is a code over GF(2) with n=164, k=15 and d=66.
This code was found by Heurico 1.10 in 147 seconds.