The generator matrix

1 0 0 0 0 1 1 1 X 1 1 0 0 1 1 0 X X 0 X X 1 1 1 1 X 1 1 1 1 0 0 0 1 0 0 X 1 X 0 X 1
0 1 0 0 0 0 0 0 0 1 1 1 0 1 X 1 1 1 X 1 X X+1 0 X+1 1 X X X X X 1 X 0 X+1 1 1 1 1 X 1 1 0
0 0 1 0 0 0 1 1 1 0 X X 1 0 1 X X+1 1 1 X 1 X+1 X X X 0 X X X 1 1 1 1 1 X+1 0 0 X 1 X+1 X+1 0
0 0 0 1 0 1 0 X+1 1 1 0 X+1 1 X X 0 0 X+1 0 1 X+1 X X+1 1 0 1 X 0 0 X X+1 X 1 1 1 X 1 X X X+1 1 0
0 0 0 0 1 1 X+1 X 1 X 1 1 0 0 X X+1 0 X+1 1 X X+1 0 0 X+1 1 X+1 X+1 X X+1 1 X 0 X 0 X X+1 X+1 X X X X 0
0 0 0 0 0 X X 0 0 0 0 X X X X X X 0 X 0 X X X 0 X 0 X X 0 0 X X 0 X X 0 X X 0 X X 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+60x^34+72x^35+115x^36+138x^37+150x^38+172x^39+130x^40+156x^41+139x^42+140x^43+151x^44+144x^45+99x^46+100x^47+86x^48+68x^49+53x^50+28x^51+26x^52+6x^53+11x^54+3x^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 1.10 in 0.11 seconds.