The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  1  0  X  0  1  0  1  1  X  0  1  1  1  X  1  0  X  1  X  1  1  1  1  0  X  X  X  1  1  X  0  1  X  X  1  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  0  1 X+1  X  1  1  0  X  0 X+1 X+1  1  1  1  X  1  0  0  1  1  X  1  1 X+1 X+1  0  X  1  1  0  X  X  1  X X+1  1  1 X+1  0 X+1 X+1  X X+1  X
 0  0  1  1  1  0  1  0  1 X+1  X  1  X  1  1  0  1 X+1  0  1  0  1  1 X+1  1 X+1  X  1  0  1 X+1 X+1  1  0  1 X+1  X  1  0  1  0  1  X  0  X  1 X+1  X  1  1  1  1
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  0  X  0  0  X  0  0  0  X  X  X  X  X  X  0  0  0  X  X  X  X  0  X  X  X  0  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  0  X  0  X  X  X  X  0  0  X  0  0  0  X  X  0  0  0  0  X  0  0  X  X  0  X  X  X  X  0  X  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  0  X  X  X  X  X  0  0  X  X  0  0  X  0  X  0  0  X  0  X  X  X  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  X  0  X  X  0  0  0  X  X  X  X  X  X  0  X  0  X  0  X  X  X  X  0  0  0  X  0  X  0  0  X  0  0  X
 0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  0  0  X  X  0  X  0  X  0  X  X  X  0  0  X  0  X  0  0  X  0  X  X  X  X  0  X  X  X  X
 0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  X  X  X  0  0  0  0  X  X  0  X  0  X  X  X  0  0  X  X  0  0  0  0  0  0  0  X  X  X  0  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+70x^42+68x^43+124x^44+150x^45+208x^46+230x^47+269x^48+280x^49+223x^50+288x^51+272x^52+340x^53+281x^54+276x^55+229x^56+184x^57+160x^58+140x^59+96x^60+70x^61+70x^62+22x^63+26x^64+11x^66+4x^68+1x^70+3x^72

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 2.32 seconds.