The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  X  1  0  1  1  X  1  1  1  1  1  X  X  1  1  X  X  1  X  1  X  1  0  1  1  1  1  X  0  1  X  1  1  1  0  X  1
 0  1  0  0  0  1  1  1  0  X X+1 X+1  1  1  0  X  0 X+1  1  0  1  0  X  X  0 X+1  X  1  1  X  1  1  1 X+1  1  1  0  0  1  0  1 X+1 X+1  1  1  0  1 X+1  0  1  1  0  X
 0  0  1  0  1  1  0  1  0  1  1  X  0  1  1  0  1  1 X+1 X+1  1  1  X X+1  1  X  X  0  1  X  X X+1  X  X X+1  0  1 X+1  X  0  0  1  X  0  0  X  0 X+1 X+1  X X+1  1  1
 0  0  0  1  1  0  1  1  1  0 X+1  X  1  X  1  1  X  1 X+1  0  0  0 X+1 X+1  X  1  0  1 X+1  X  X  X  X X+1  X  X  1  X  X  X  1 X+1  1 X+1 X+1  1  1  1  1  X  X  1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  0  X  0  X  X  X  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  0  X  X  X  X  X  X  0  0  0  X  X  0  0  0  X  X  X  0  X  0  0  0  0  X  X  X  0  X  X  0  X  0  X  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  0  X  X  X  0  X  0  X  X  0  0  X  X  X  0  X  0  0  X  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  X  0  X  X  X  X  X  0  X  0  0  X  0  X  0  0  0  X  0  0  X  X  0  0  0  X  X  X  X  0  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  0  X  0  0  X  0  X  X  0  X  0  0  0  0  X  X  0  X  0  0  X  X  X  0  0  X  0  0  0  X  0  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+59x^42+116x^43+206x^44+244x^45+332x^46+320x^47+411x^48+490x^49+501x^50+578x^51+528x^52+588x^53+574x^54+588x^55+546x^56+504x^57+387x^58+356x^59+280x^60+192x^61+148x^62+84x^63+66x^64+30x^65+43x^66+6x^67+9x^68+2x^70+2x^74+1x^84

The gray image is a linear code over GF(2) with n=106, k=13 and d=42.
This code was found by Heurico 1.16 in 7.26 seconds.