The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+28x^32+12x^33+66x^34+50x^35+104x^36+96x^37+146x^38+168x^39+135x^40+200x^41+126x^42+172x^43+106x^44+160x^45+100x^46+104x^47+103x^48+44x^49+46x^50+18x^51+28x^52+26x^54+5x^56+2x^58+2x^60

The gray image is a code over GF(2) with n=84, k=11 and d=32.
This code was found by Heurico 1.16 in 0.367 seconds.