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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+56x^53+79x^54+62x^55+46x^56+42x^57+40x^58+26x^59+33x^60+14x^61+24x^62+22x^63+13x^64+14x^65+8x^66+10x^67+2x^68+2x^69+5x^70+4x^71+4x^74+4x^75+1x^76

The gray image is a linear code over GF(2) with n=116, k=9 and d=53.
This code was found by Heurico 1.10 in 155 seconds.