The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^78+114x^79+169x^80+238x^81+247x^82+318x^83+358x^84+400x^85+434x^86+388x^87+444x^88+436x^89+400x^90+408x^91+412x^92+420x^93+375x^94+424x^95+356x^96+322x^97+294x^98+236x^99+195x^100+164x^101+178x^102+112x^103+91x^104+60x^105+40x^106+44x^107+18x^108+8x^109+5x^110+2x^111+2x^112+3x^114+2x^115+1x^116+2x^118+1x^120

The gray image is a code over GF(2) with n=182, k=13 and d=78.
This code was found by Heurico 1.16 in 16.2 seconds.