The generator matrix

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

generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+196x^42+550x^44+778x^46+976x^48+1020x^50+1155x^52+1046x^54+1042x^56+726x^58+428x^60+184x^62+69x^64+18x^66+2x^68+1x^84

The gray image is a linear code over GF(2) with n=104, k=13 and d=42.
This code was found by Heurico 1.16 in 7.24 seconds.