The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  X  X  X  1  1  X  1  1  0  1  1  0  X  0  1  1  X  1  1  1  X  1  1  X  X  1  1  0  X  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  0  1  X  X  1 X+1  1  0  X  1  1  1  X X+1  0  X  1  X X+1  1 X+1 X+1  1  X X+1 X+1  0  1  1  0
 0  0  1  0  0  0  1  1  1  1 X+1  0  1  X  X  0  1 X+1  0  X  0  X  1  1  1  X  1  1  X X+1 X+1 X+1  X  0  X  1  X  X  X  1 X+1  0
 0  0  0  1  0  1  1  X X+1  0 X+1  1  1  0 X+1  0  X  X  X  1  1  1  0  1 X+1 X+1 X+1  0  X  X X+1 X+1 X+1  0 X+1  0  1  0  1 X+1  X  0
 0  0  0  0  1  1  X X+1  1  0  1  1  0 X+1  X  1  X X+1  0  1 X+1  0 X+1  0  1 X+1 X+1  X X+1  X  1 X+1 X+1  X  X X+1  0  X  0  0  0  0
 0  0  0  0  0  X  0  X  0  X  0  0  X  X  X  0  X  0  X  0  0  0  X  0  X  0  0  X  X  X  X  0  X  0  0  0  X  X  0  0  0  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+53x^34+82x^35+114x^36+152x^37+137x^38+152x^39+148x^40+152x^41+155x^42+138x^43+123x^44+128x^45+133x^46+110x^47+77x^48+72x^49+56x^50+28x^51+14x^52+8x^53+10x^54+2x^55+2x^56+1x^60

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 0.304 seconds.