The generator matrix

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

generates a code of length 94 over Z4 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+124x^77+276x^78+402x^79+573x^80+820x^81+1048x^82+1238x^83+1502x^84+1616x^85+1989x^86+2272x^87+2614x^88+2914x^89+3147x^90+3324x^91+3417x^92+3602x^93+3493x^94+3528x^95+3468x^96+3552x^97+3301x^98+2990x^99+2670x^100+2228x^101+2006x^102+1782x^103+1560x^104+1166x^105+869x^106+692x^107+453x^108+314x^109+219x^110+126x^111+120x^112+44x^113+35x^114+28x^115+6x^116+4x^117+2x^119+1x^166

The gray image is a code over GF(2) with n=188, k=16 and d=77.
This code was found by Heurico 1.13 in 366 seconds.