The generator matrix

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

generates a code of length 93 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+52x^82+132x^83+165x^84+196x^85+218x^86+232x^87+228x^88+208x^89+227x^90+258x^91+200x^92+184x^93+199x^94+180x^95+205x^96+188x^97+156x^98+138x^99+111x^100+94x^101+104x^102+104x^103+82x^104+58x^105+47x^106+30x^107+28x^108+30x^109+15x^110+12x^111+4x^112+2x^113+6x^114+2x^115

The gray image is a code over GF(2) with n=186, k=12 and d=82.
This code was found by Heurico 1.10 in 1.25 seconds.