The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+208x^34+454x^36+513x^38+605x^40+586x^42+589x^44+504x^46+399x^48+158x^50+60x^52+15x^54+3x^56+1x^60

The gray image is a linear code over GF(2) with n=84, k=12 and d=34.
This code was found by Heurico 1.16 in 1.58 seconds.