The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  1  0  X  0  1  1  1  1  1  1  0  0  1  X  0  1  X  X  X  X  1  1  1  X  X  0  1  1  X  0  1
 0  1  0  1  0  1  1  0  0  1 X+1  X  1  1  0  0  X  1 X+1  X  X  1  X X+1  1  1  0  1  1  X  1  X  1  1  0  1  0  0  1  0  1  0
 0  0  1  1  1  0  1  0  1 X+1  X  1  X  1  1  0  0  1 X+1  1  1  0  1  0  1 X+1  1  0  1  1  X  0 X+1  X  1 X+1  1  0  X  1  0  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  0  X  X  X  0  X  0  0  X  0  X  X  0  0  X  X  X  X  0  X  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  0  X  X  0  0  X  0  0  0  X  X  X  X  0  0  X  0  X  0  0  X  X  0  0  X  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  X  X  0  0  X  X  0  0  X  X  X  0  X  X  0  0  X  X  X  0  X  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  X  X  X  0  X  X  X  0  0  X  X  X  X  0  X  X  0  0  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  X  X  X  0  0  X  X  0  0  0  X  0  0  0  0  X  X  0  X  X  X  X  X  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  X  X  X  0  0  X  0  0  0  0  X  X  0  X  X  X  0  X  0  0  X  0  0

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+61x^32+44x^33+95x^34+120x^35+210x^36+242x^37+247x^38+256x^39+267x^40+328x^41+299x^42+384x^43+285x^44+308x^45+247x^46+224x^47+164x^48+92x^49+97x^50+40x^51+32x^52+10x^53+33x^54+3x^56+5x^58+1x^60+1x^62

The gray image is a linear code over GF(2) with n=84, k=12 and d=32.
This code was found by Heurico 1.16 in 1.31 seconds.