The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^82+52x^83+156x^84+160x^85+283x^86+282x^87+329x^88+354x^89+317x^90+414x^91+415x^92+454x^93+383x^94+420x^95+381x^96+378x^97+376x^98+368x^99+339x^100+380x^101+345x^102+324x^103+256x^104+230x^105+190x^106+134x^107+120x^108+78x^109+93x^110+44x^111+38x^112+14x^113+25x^114+8x^115+8x^116+2x^119+3x^120+1x^122+1x^124+1x^132

The gray image is a code over GF(2) with n=192, k=13 and d=82.
This code was found by Heurico 1.16 in 17.1 seconds.