The generator matrix

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

generates a code of length 91 over Z4 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+65x^78+88x^79+175x^80+272x^81+307x^82+328x^83+310x^84+388x^85+372x^86+406x^87+460x^88+444x^89+428x^90+404x^91+431x^92+360x^93+367x^94+404x^95+345x^96+324x^97+292x^98+262x^99+211x^100+198x^101+155x^102+132x^103+95x^104+54x^105+53x^106+22x^107+20x^108+6x^109+5x^110+2x^111+2x^113+4x^114

The gray image is a code over GF(2) with n=182, k=13 and d=78.
This code was found by Heurico 1.10 in 5.56 seconds.