The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+38x^34+26x^35+91x^36+72x^37+132x^38+136x^39+139x^40+184x^41+133x^42+188x^43+130x^44+184x^45+116x^46+136x^47+111x^48+72x^49+68x^50+26x^51+27x^52+16x^54+13x^56+9x^58

The gray image is a linear code over GF(2) with n=86, k=11 and d=34.
This code was found by Heurico 1.16 in 0.402 seconds.