The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+214x^82+580x^84+956x^86+1234x^88+1252x^90+1516x^92+1640x^94+1685x^96+1642x^98+1602x^100+1334x^102+1029x^104+726x^106+529x^108+250x^110+130x^112+46x^114+12x^116+4x^118+1x^120+1x^140

The gray image is a code over GF(2) with n=192, k=14 and d=82.
This code was found by Heurico 1.10 in 22.6 seconds.