The generator matrix

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

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+66x^32+106x^33+215x^34+296x^35+381x^36+466x^37+468x^38+528x^39+584x^40+618x^41+647x^42+652x^43+627x^44+608x^45+508x^46+476x^47+321x^48+234x^49+177x^50+92x^51+63x^52+14x^53+32x^54+4x^55+3x^56+2x^57+1x^58+1x^60+1x^72

The gray image is a linear code over GF(2) with n=84, k=13 and d=32.
This code was found by Heurico 1.16 in 5.25 seconds.