The generator matrix

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

generates a code of length 92 over Z4 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+36x^77+123x^78+208x^79+294x^80+332x^81+445x^82+524x^83+579x^84+710x^85+635x^86+658x^87+783x^88+800x^89+867x^90+800x^91+761x^92+878x^93+896x^94+860x^95+731x^96+656x^97+715x^98+650x^99+545x^100+508x^101+375x^102+312x^103+216x^104+138x^105+157x^106+66x^107+51x^108+36x^109+11x^110+18x^111+6x^112+2x^113+1x^152

The gray image is a code over GF(2) with n=184, k=14 and d=77.
This code was found by Heurico 1.10 in 21.2 seconds.