The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  1  0  X  0  X  1  1  1  X  X  X  X  1  1  0  1  0  X  1  0  1  0  1  0  1  0  1  X  1  1  X  1  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  1  1  X  1  X X+1  1  1  1  X  0 X+1  1  X  1  X  1  X  1 X+1  0  1  X  0  1  X  1  0  0  1 X+1  0  X  1
 0  0  1  0  0  0  0  0  0  0  1  1  1 X+1  1  X X+1 X+1  0  1  1  1  X X+1  X  X  0 X+1  1  X  0 X+1  1  1  X  X  X  X  X  1  1  1  1  0  0 X+1 X+1  1  0  0  X  0  X
 0  0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1  0  X  0 X+1 X+1  1  X X+1  0  X X+1  1  0  X  1 X+1 X+1  X X+1  X  X  X X+1  X  X X+1  0  X  0 X+1  0  0  1  X X+1 X+1  X  0
 0  0  0  0  1  0  1  1  0 X+1  X  0  X X+1  1  X X+1  0  X  1  X  1  0 X+1 X+1  1 X+1 X+1  X  1  X  1  1  X  1 X+1  1 X+1  1  X  0  X  X X+1  X  0 X+1  1 X+1  1  X  1  0
 0  0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X X+1  1  0  0 X+1  X  1 X+1  0  0  1  0  X  0  1  0 X+1  0 X+1  1  0  X X+1 X+1  1  X X+1  0  X  0  X X+1  0  1  X  0  0 X+1
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  X  0  X  X  0  0  X  0  0  0  X  0  0  X  0  0  X  X  0  0  0  X  0  X  X  X  X  0  X  0  X  X  0  X
 0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  0  X  X  X  0  X  X  0  0  X  X  X  X  0  0  X  0  0  X  0  0  X  X  X  0  0  X  X  0  0  X  0  X  X  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+289x^42+697x^44+1258x^46+1644x^48+1987x^50+2263x^52+2264x^54+2184x^56+1701x^58+1149x^60+628x^62+241x^64+62x^66+11x^68+2x^70+2x^72+1x^98

The gray image is a linear code over GF(2) with n=106, k=14 and d=42.
This code was found by Heurico 1.16 in 72.8 seconds.