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

generates a code of length 93 over Z4 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+116x^79+230x^80+244x^81+354x^82+464x^83+518x^84+582x^85+628x^86+740x^87+693x^88+744x^89+842x^90+842x^91+833x^92+852x^93+890x^94+800x^95+806x^96+768x^97+758x^98+664x^99+601x^100+526x^101+434x^102+432x^103+317x^104+192x^105+160x^106+126x^107+79x^108+56x^109+24x^110+40x^111+17x^112+4x^113+6x^114+1x^132

The gray image is a code over GF(2) with n=186, k=14 and d=79.
This code was found by Heurico 1.10 in 226 seconds.