The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^77+74x^78+74x^79+44x^80+26x^81+50x^82+40x^83+38x^84+16x^85+21x^86+6x^87+4x^88+16x^89+8x^90+4x^91+6x^92+4x^93+2x^94+3x^96+4x^97+2x^98+2x^99+2x^101+3x^102+2x^105+2x^107

The gray image is a code over GF(2) with n=164, k=9 and d=77.
This code was found by an older version of Heurico in 0 seconds.