The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  X  0  X  0  1  1  1  1  1  1  X  1  1  1  1  0  0  0  1  1  1  1  X  1  1  0  0  1  1  1  0  0  1  0  1  1
 0  1  0  0  0  1  1  1  X  0 X+1 X+1  1  1  X  1  1  X  0  1  X  1  X  1  0  0  1  1  1  1  X  X  1  1  1  X  X  0  1  1 X+1  1  1  X  1  X  1  1  X  X  X  X
 0  0  1  0  1  1  0  1  0 X+1 X+1  X  X X+1  1  X  X  1  0 X+1  1  X  0 X+1  X  0  X X+1 X+1  0 X+1  1 X+1  1  X  X  X  1 X+1  1  1 X+1  X  1  X  X  0  0  X  1  1  0
 0  0  0  1  1  0  1  1  1  0  1  X X+1  0 X+1  1  1 X+1  1 X+1 X+1  1  1 X+1  X X+1 X+1  0  X  1  0  0  0  X X+1 X+1  0  1 X+1 X+1  0  X  X  0  X X+1 X+1  X  X  1  0  1
 0  0  0  0  X  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  0  0  0  X  0  X  X  X  X  X  X  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  X  X  X  0  X  X  X  X  X  0  0  0  X  0  X  0  0  X  0  0  X  X  X  X  0  0  0  X  0  X  0  X  0  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  X  X  X  X  0  0  X  0  X  X  X  0  0  0  X  0  0  X  0  X  X  0  X  X  0  0  X  X  0  X  0  X  X
 0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  X  0  X  X  0  X  X  0  0  0  0  0  0  0  X  X  0  X  0  0  0  0  0  X  0  X  0  X  0  0  X  0  X  X  0  X  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+46x^42+52x^43+126x^44+182x^45+222x^46+268x^47+265x^48+234x^49+246x^50+292x^51+275x^52+326x^53+280x^54+258x^55+226x^56+198x^57+158x^58+126x^59+92x^60+76x^61+58x^62+26x^63+36x^64+8x^65+14x^66+2x^67+3x^68

The gray image is a linear code over GF(2) with n=104, k=12 and d=42.
This code was found by Heurico 1.16 in 1.72 seconds.