The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  0  0  1  X  1  1  X  0  X  1  1  X  1  1  X  0  1  X  0  X  1  1  1  0  0  1  1  X  1  0  1  0  1  X  X  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1 X+1  X  1  1  1  1  X  0  1  0  X  0  1  X  0  1  1 X+1  1  1  X  0  1  0  X  1  1  1  X  1  0  1  1 X+1  0  X  0  0
 0  0  1  0  0  0  1  1  1  1 X+1  0  0 X+1  X  0 X+1  1  X X+1  0  1  X  1  0 X+1 X+1  1  X  0 X+1  X  1  X  1  1  0  X  1 X+1  1 X+1  0  X  0  0  X  0  0  1  X  X
 0  0  0  1  0  1  1  0  1  X X+1  1  0  1  1  X  X  X X+1  1  1 X+1  X  X  0  1  0  X  0  0  0  X  0  0  1  0 X+1  1  1 X+1  X  0  1  0  X X+1  X  1  1 X+1  0  1
 0  0  0  0  1  1  0  1 X+1  X X+1 X+1  1  X  0  1  1  0 X+1  1 X+1  1  X  0  0 X+1  1  X  1 X+1  X  0  0 X+1  0  X X+1  0 X+1  X  1  1  1  X  1  1 X+1  0  0  X  1 X+1
 0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  X  0  X  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  X  0  X  X  X  0  0  X  X  X  0  0  0  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  0  X  X  0  0  X  X  0  X  0  0  X  0  X  X  X  X  0  X  X  0  0  0  X  0  X  0  X  X
 0  0  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  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  X  0  0  X  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+217x^42+522x^44+730x^46+1015x^48+1079x^50+1144x^52+1022x^54+1023x^56+719x^58+452x^60+182x^62+64x^64+17x^66+1x^68+2x^70+1x^72+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 7.84 seconds.