The generator matrix

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

generates a code of length 91 over Z4 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+88x^77+187x^78+292x^79+372x^80+436x^81+525x^82+590x^83+611x^84+700x^85+744x^86+822x^87+847x^88+756x^89+841x^90+816x^91+835x^92+880x^93+810x^94+762x^95+771x^96+706x^97+645x^98+544x^99+451x^100+386x^101+270x^102+220x^103+168x^104+126x^105+61x^106+42x^107+39x^108+18x^109+13x^110+8x^111+1x^136

The gray image is a code over GF(2) with n=182, k=14 and d=77.
This code was found by Heurico 1.10 in 21.2 seconds.