The generator matrix

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

generates a code of length 86 over Z4 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+21x^80+52x^81+49x^82+66x^83+61x^84+36x^85+44x^86+42x^87+22x^88+20x^89+23x^90+10x^91+14x^92+12x^93+2x^94+6x^95+4x^96+4x^97+5x^98+4x^99+5x^100+1x^106+2x^110+4x^113+2x^114

The gray image is a code over GF(2) with n=172, k=9 and d=80.
This code was found by Heurico 1.10 in 0.015 seconds.