The generator matrix

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

generates a code of length 93 over Z4 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+58x^77+155x^78+282x^79+442x^80+586x^81+668x^82+770x^83+911x^84+1038x^85+1147x^86+1266x^87+1498x^88+1616x^89+1632x^90+1680x^91+1657x^92+1770x^93+1823x^94+1684x^95+1724x^96+1562x^97+1498x^98+1386x^99+1175x^100+1126x^101+859x^102+722x^103+556x^104+464x^105+322x^106+244x^107+213x^108+88x^109+88x^110+30x^111+10x^112+12x^113+4x^116+1x^160

The gray image is a code over GF(2) with n=186, k=15 and d=77.
This code was found by Heurico 1.10 in 174 seconds.