The generator matrix

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

generates a code of length 92 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+246x^82+371x^84+460x^86+498x^88+476x^90+401x^92+382x^94+289x^96+242x^98+247x^100+204x^102+136x^104+80x^106+37x^108+18x^110+4x^112+4x^114

The gray image is a code over GF(2) with n=184, k=12 and d=82.
This code was found by Heurico 1.10 in 190 seconds.