The generator matrix

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

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+210x^34+421x^36+572x^38+611x^40+528x^42+593x^44+526x^46+394x^48+170x^50+57x^52+10x^54+2x^56+1x^68

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 1.28 seconds.