The generator matrix

 1  0  0  0  1  1  1  X  1  1  X  1  X  X  1  1  1  0  1  0  X  0  0  1  1  1  X  1  1  X  1  X  X  1  0  1  X  X  0  1  0  0  1  1  1  0  1  0  0  1  1  X  X  X
 0  1  0  0  0  0  0  0  1 X+1  1  1  1  1 X+1  X  X  1  1  X  1  0  1  X  0 X+1  X  1  X  1 X+1  X  1  0  X  1  1  1  1 X+1  1  1  0  1  0  X  1  1  1 X+1  0  1  1  0
 0  0  1  0  0  1 X+1  1  1  1  X  0 X+1  1  0  0  X  X  0  1  1  1  1 X+1  1  0  X X+1  0  1  X  1  X X+1  1  X X+1 X+1  1  1  X  0  0  X  X  1  1 X+1  0 X+1  X X+1  0  0
 0  0  0  1  1 X+1  0 X+1  X  1  1 X+1 X+1  X  0  X X+1  1  1  X X+1  1  0  0  1  X  1  1  0  0  X  X  0  X  0  X  1 X+1  1 X+1  0  X X+1 X+1  1  1  1  0 X+1  1 X+1  0  X  1
 0  0  0  0  X  X  X  0  X  X  0  X  0  0  X  X  0  X  0  X  X  X  X  X  0  0  X  0  0  0  X  X  X  0  0  0  X  X  0  0  0  X  0  X  X  X  X  X  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+44x^49+56x^50+68x^51+74x^52+52x^53+42x^54+30x^55+31x^56+18x^57+20x^58+14x^59+15x^60+8x^61+6x^62+12x^63+4x^64+2x^65+2x^66+2x^67+3x^68+2x^71+4x^73+2x^74

The gray image is a linear code over GF(2) with n=108, k=9 and d=49.
This code was found by Heurico 1.16 in 0.0606 seconds.