The generator matrix

 1  0  0  0  1  1  1  0  1  X  1  0  1  X  1  1  1  1  1  1  0  X  1  0  1  0  1  0  1  1  1  1  X  1  0  1  1  X  X  0  1  1
 0  1  0  0  0  1  1  1 X+1  X  0  1  X  1  X  X X+1 X+1  X  X  1  X  X  1 X+1  1  1  1  X  0  0  1  X  1  0  0  X  1  0  1  1  X
 0  0  1  0  1  1  0  1  1  1  X  0 X+1  1 X+1  X  0  0  X  0  0  1  X X+1  1  1 X+1  0  X  1  0  X  1  1  X  0  0  X  0  1  0  0
 0  0  0  1  1  0  1 X+1  1 X+1 X+1 X+1  X  0  0  X  X X+1 X+1  0 X+1 X+1  0 X+1  1  0  0  0  X  X  1  0  0 X+1  1  1 X+1 X+1  1  X X+1  1
 0  0  0  0  X  0  0  X  0  0  X  X  X  X  X  0  X  0  0  0  0  X  0  X  0  0  X  X  X  0  0  X  0  X  0  X  X  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  0  X  X  0  X  X  X  0  X  X  0  0  X  0  X  X  0  X  X  0  X  X  0  0
 0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  0  0  X  X  X  0  0  X  X  X  0  0  0  X  X  X  X  X  X  0  X  0  0  X  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+52x^34+74x^35+111x^36+136x^37+156x^38+148x^39+138x^40+178x^41+132x^42+160x^43+148x^44+122x^45+120x^46+108x^47+83x^48+70x^49+48x^50+22x^51+29x^52+6x^53+4x^54+2x^56

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 0.313 seconds.