The generator matrix

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

generates a code of length 94 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+111x^78+150x^79+314x^80+426x^81+539x^82+576x^83+787x^84+986x^85+1103x^86+1262x^87+1210x^88+1428x^89+1511x^90+1648x^91+1678x^92+1678x^93+1819x^94+1778x^95+1595x^96+1648x^97+1620x^98+1484x^99+1318x^100+1266x^101+1167x^102+926x^103+762x^104+584x^105+439x^106+300x^107+236x^108+150x^109+126x^110+60x^111+30x^112+26x^113+11x^114+8x^115+4x^116+2x^118+1x^164

The gray image is a code over GF(2) with n=188, k=15 and d=78.
This code was found by Heurico 1.10 in 159 seconds.