The generator matrix

 1  0  0  0  0  0  1  1  1  X  0  0  0  0  1  1  1  X  X  0  1  1  1  1  1  0  1  1  X  1  1  0  X  0  1  0  X  X  X  1  1  X  X  1  1  1  0  X  0  1  1  X  1
 0  1  0  0  0  0  0  0  0  0  1  X  1  1  0  1  X  X  1  1  X  1  0  1  0  1 X+1  1  1  1  1  X  X  1 X+1  1  0  1  1 X+1  X  1  0  X  0  0  1  0  1 X+1  X  1  X
 0  0  1  0  0  0  0  0  0  0  X  1  1 X+1 X+1 X+1  1  1  0  X  0  0 X+1 X+1  1  1  X  0 X+1  0  1  X  1  1 X+1  X  1  1  X X+1 X+1 X+1  1  0  X  1 X+1  X  0 X+1  0  0  0
 0  0  0  1  0  0  0  1  1  1 X+1 X+1  1  X  0 X+1  1  1  0  1 X+1  X  1  X  X X+1  0  1 X+1  X  0  1  X  X  1  X  0  0  X X+1 X+1  X  X X+1 X+1  1  1  1  X  1  1  1  0
 0  0  0  0  1  0  1  1  X X+1  1  1  1  0 X+1  0  X  X X+1  X X+1 X+1  1  X  X  0  0  X  1 X+1  1  X  X X+1  X X+1  1  X  1 X+1  1 X+1  X X+1  0  1  0  0  0  1 X+1  0  0
 0  0  0  0  0  1  1  X X+1  1  0  X  1 X+1  0 X+1  0  1 X+1 X+1  X  0 X+1  X  1  0  1  0  1  0 X+1  0  X  X  0  1  1  X  X  1  X  1 X+1  0 X+1  1  0  1 X+1  1 X+1  0  1
 0  0  0  0  0  0  X  0  X  0  0  0  0  0  X  X  X  0  0  0  X  X  X  X  0  X  0  0  X  0  0  X  X  0  0  X  0  X  X  0  X  X  0  0  0  X  0  X  X  X  0  X  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+55x^42+94x^43+172x^44+292x^45+353x^46+370x^47+418x^48+496x^49+485x^50+534x^51+509x^52+538x^53+603x^54+592x^55+548x^56+464x^57+449x^58+334x^59+276x^60+224x^61+139x^62+110x^63+56x^64+32x^65+27x^66+14x^67+3x^68+2x^69+1x^70+1x^80

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 7.08 seconds.