The generator matrix

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

generates a code of length 82 over Z4 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+60x^77+75x^78+58x^79+74x^80+50x^81+30x^82+28x^83+26x^84+26x^85+11x^86+2x^87+4x^88+4x^89+7x^90+4x^91+14x^92+10x^93+2x^94+2x^95+5x^96+8x^97+3x^98+4x^100+2x^103+2x^105

The gray image is a code over GF(2) with n=164, k=9 and d=77.
This code was found by Heurico 1.16 in 96.1 seconds.