The generator matrix

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

generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+70x^42+162x^44+284x^46+423x^48+524x^50+628x^52+597x^54+501x^56+411x^58+250x^60+118x^62+64x^64+34x^66+16x^68+9x^70+3x^72+1x^74

The gray image is a linear code over GF(2) with n=106, k=12 and d=42.
This code was found by Heurico 1.16 in 31.1 seconds.