The generator matrix

1 1 X 1 1 0 0 1 1 0 0 1 X 1 X 1 1 1 1 0 0 1 X 1 1 0 X 1 1 X 0 1 1 1 1 1 X X X 1 0 X 0 X 1 1 1 X 0 1 1 1
X+1 0 1 0 X+1 X 1 0 X+1 X 1 X+1 1 0 X 1 X+1 X+1 X 1 X 0 0 X+1 1 X 1 X+1 0 1 X X+1 0 0 X+1 1 1 0 X X 1 1 0 X 0 0 1 1 1 1 X+1 X+1
0 X 0 X+1 X+1 1 X+1 0 X+1 1 1 X X 1 0 1 X+1 X 1 X 1 0 X X+1 1 0 X+1 0 X+1 X 1 0 1 0 X+1 0 X 1 1 1 0 1 1 0 X 1 0 X+1 0 X X X
X+1 1 0 X+1 1 X X 0 0 1 1 0 1 X 1 0 X+1 0 0 X X X+1 1 X 0 1 1 X+1 1 X 1 0 0 X+1 1 1 X+1 X+1 X 0 X+1 X 0 1 0 1 X+1 X+1 X 1 X 1
X X 0 X X 0 0 0 0 X X 0 X 0 X 0 0 X X X X 0 0 X X 0 0 0 0 0 0 X X X 0 0 0 0 X 0 X X 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 47.

Homogenous weight enumerator: w(x)=1x^0+48x^47+69x^48+62x^49+56x^50+54x^51+56x^52+26x^53+15x^54+16x^55+20x^56+22x^57+13x^58+6x^59+12x^60+8x^61+9x^62+4x^63+2x^64+8x^65+3x^66+2x^69

The gray image is a linear code over GF(2) with n=104, k=9 and d=47.
This code was found by an older version of Heurico in 0 seconds.