The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+36x^32+92x^33+150x^34+208x^35+292x^36+364x^37+386x^38+452x^39+542x^40+528x^41+618x^42+752x^43+617x^44+598x^45+598x^46+500x^47+452x^48+334x^49+247x^50+168x^51+93x^52+62x^53+43x^54+32x^55+13x^56+6x^57+5x^58+2x^60+1x^62

The gray image is a code over GF(2) with n=86, k=13 and d=32.
This code was found by Heurico 1.10 in 2.04 seconds.