The generator matrix

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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+28x^82+58x^83+133x^84+232x^85+242x^86+290x^87+368x^88+324x^89+348x^90+356x^91+395x^92+432x^93+387x^94+434x^95+355x^96+388x^97+402x^98+400x^99+393x^100+344x^101+308x^102+266x^103+318x^104+216x^105+180x^106+176x^107+103x^108+92x^109+67x^110+50x^111+46x^112+16x^113+18x^114+18x^115+4x^117+4x^118

The gray image is a code over GF(2) with n=192, k=13 and d=82.
This code was found by Heurico 1.10 in 5.87 seconds.