The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  0  4  4  0  4  2  2  4  1  1  2  4  2  2  4  1  2  2  4  0  2  1  1  1  1  1  0  1  1  1  2  2  1  2  1  2  1  1  2  0  2  1
 0  2  0  0  0  0  0  0  0  0  0  4  4  6  2  6  2  6  6  2  6  6  0  2  6  0  6  6  4  6  2  6  4  4  6  2  2  0  4  4  0  6  0  2  2  0  4  6  2  2  4  4  0  4  4  4  2  2  0  0  6  0  6  4  4  2  0  0  2  0  2  2  0  0  6  0  0  6  6  0  4  4  2  4  0  6  2  2  4  6  6  0  0  2  4  4
 0  0  2  0  0  0  0  0  0  0  2  2  6  0  4  2  2  6  4  6  0  6  2  4  2  6  2  0  2  0  6  0  6  4  4  2  0  6  6  6  4  0  6  4  2  6  6  2  4  6  0  6  6  2  2  2  2  4  2  2  0  4  6  2  4  0  4  4  2  2  6  4  0  2  0  0  2  4  4  4  2  0  2  4  4  6  6  4  4  6  6  0  2  2  4  6
 0  0  0  2  0  0  0  2  6  2  2  2  4  2  2  4  6  4  4  0  6  2  6  4  6  6  6  2  4  4  0  0  0  2  2  2  6  6  0  6  0  6  2  4  6  4  0  0  0  0  2  0  2  4  6  4  4  6  4  2  2  0  4  2  6  2  6  2  6  4  6  6  2  0  0  0  2  0  4  6  6  6  4  4  6  6  6  0  6  6  4  0  6  2  2  2
 0  0  0  0  2  0  2  2  2  4  4  0  0  0  0  0  4  2  6  2  6  6  6  2  6  2  4  2  2  0  4  0  6  4  4  6  0  0  6  6  4  6  2  6  6  4  6  0  0  4  2  4  6  6  2  2  2  2  4  2  6  2  2  6  2  0  6  4  4  4  2  2  4  2  2  0  2  4  2  2  2  4  6  6  0  0  0  2  6  2  0  4  6  0  2  0
 0  0  0  0  0  2  2  4  6  2  4  2  2  6  4  2  0  6  4  4  6  0  6  2  2  0  6  4  0  6  0  6  2  0  4  4  2  0  2  4  6  2  6  4  6  6  4  6  4  0  6  0  2  0  4  0  6  0  6  6  4  0  6  2  4  0  2  0  6  4  6  6  2  2  4  4  0  4  2  4  0  2  6  4  4  6  2  6  2  6  6  6  2  4  0  6
 0  0  0  0  0  0  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  4  4  0  4  4  0  4  4  0  4  4  4  0  4  0  0  0  0  4  0  4  4  0  0  0  0  4  0  0  0  0  4  4  4  4  0  4  0  4  4  4  4  4  0  4  4  4  0  4  4  4  4  0  0  0  4  0  4  0  0  4  0  4  4  0  4  0  0  0

generates a code of length 96 over Z8 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+50x^83+124x^84+202x^85+300x^86+342x^87+409x^88+502x^89+607x^90+828x^91+877x^92+1080x^93+1121x^94+1196x^95+1379x^96+1196x^97+1149x^98+978x^99+954x^100+722x^101+482x^102+460x^103+329x^104+268x^105+208x^106+182x^107+101x^108+98x^109+89x^110+58x^111+42x^112+26x^113+11x^114+2x^115+8x^116+2x^117+1x^138

The gray image is a code over GF(2) with n=384, k=14 and d=166.
This code was found by Heurico 1.16 in 27.8 seconds.