The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  1  0  1  1  0  0  1  X  1  1  0  1  1  X  1  X  1  1  1  1  1  1  X  X  X  1
 0  1  1  0  1  1  0  1  1  X X+1  1  0 X+1  1  0 X+1  1  0 X+1  1  1  X  1  0 X+1  1 X+1  0  1 X+1  1  X  0 X+1  X  0 X+1  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  0  0  0  X  X  X  X  X  X  0  0  X  X  0  X  X  X  0  X  0  X  0  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  X  X  0  0  X  0  X  X  X  X  X  0  X  0  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  0  0  X  X  X  0  X  X  0  X  0  X  0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  X  0  0  X  0  0  X  X  X  X  0  0  X  0  X  X  0  X  X  0  0  0  X  0  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  X  0  0  X  0  X  0  X  X  X  X  0  0  0  X  0  X  0  X  X  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  0  X  0  X  X  0  X  X  X  0  X  0  0  0  X  X  0  0  X  0  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  X  0  0  X  X  0  X  X  X  0  X  X  X  0  X  X  0  0  X  X  0  0  0  0  X  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+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 linear code over GF(2) with n=84, k=11 and d=32.
This code was found by Heurico 1.16 in 0.366 seconds.