The generator matrix

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

generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+54x^49+72x^50+74x^51+52x^52+32x^53+50x^54+18x^55+24x^56+16x^57+28x^58+26x^59+10x^60+16x^61+4x^62+6x^63+5x^64+10x^65+4x^66+4x^67+2x^68+2x^70+2x^72

The gray image is a linear code over GF(2) with n=108, k=9 and d=49.
This code was found by Heurico 1.10 in 0.828 seconds.