The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  1  0  1  1  1  X  1  0  X  0  1  1  1  1  1  1  X  X  X  X  1  0  1  1  1  1  0  1  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  0  X  1  1  0 X+1  1  1  X  0  X  X  1  0 X+1  1  X  0  1  X  1  0  0  0  X  1  1  X
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  X  1 X+1  1  1  1  0  0  0  1  X X+1 X+1  X  1  0  1  1  1  1  1  X  X X+1  0  0 X+1  X X+1
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  0  X  X  0  0  0  X  X  X  X  0  X  X  0  X  X  0  0  0  0  0  X  0
 0  0  0  0  X  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  0  0  0  X  X  0  0  X  0  0  X  X  0  0  X  0  X  0  X  X  X
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  X  0  0  0  X  X  X  X  0  0  X  0  X  0  X  X  0  0  X  X  0  X  X  0  X  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  0  X  0  X  X  X  X  X  0  0  X  X  0  X  0  0  X  X  X  0  0  X  0  0  X  0
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  0  0  0  X  X  X  X  0  0  0  0  0  X  X  X  X  0  0  0  X  0  X  X  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+80x^34+214x^36+286x^38+328x^40+310x^42+268x^44+269x^46+173x^48+64x^50+38x^52+12x^54+2x^56+2x^58+1x^62

The gray image is a linear code over GF(2) with n=84, k=11 and d=34.
This code was found by Heurico 1.16 in 0.367 seconds.