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

generates a code of length 93 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+67x^78+84x^79+229x^80+278x^81+363x^82+450x^83+503x^84+572x^85+625x^86+664x^87+696x^88+836x^89+799x^90+798x^91+839x^92+868x^93+815x^94+884x^95+790x^96+770x^97+749x^98+676x^99+615x^100+502x^101+448x^102+390x^103+332x^104+210x^105+167x^106+132x^107+71x^108+50x^109+52x^110+18x^111+16x^112+10x^113+10x^114+4x^116+1x^134

The gray image is a code over GF(2) with n=186, k=14 and d=78.
This code was found by Heurico 1.10 in 21.5 seconds.