The generator matrix

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

generates a code of length 85 over Z4 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+40x^81+25x^82+32x^83+47x^84+18x^85+25x^86+10x^87+13x^88+16x^89+11x^90+2x^91+1x^92+6x^93+3x^94+2x^103+2x^107+2x^112

The gray image is a code over GF(2) with n=170, k=8 and d=81.
This code was found by Heurico 1.10 in 0.031 seconds.