The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+38x^54+68x^55+101x^56+148x^57+144x^58+134x^59+141x^60+130x^61+130x^62+146x^63+108x^64+116x^65+102x^66+84x^67+107x^68+70x^69+60x^70+62x^71+38x^72+36x^73+28x^74+18x^75+16x^76+12x^77+8x^78+2x^82

The gray image is a linear code over GF(2) with n=126, k=11 and d=54.
This code was found by Heurico 1.10 in 0.187 seconds.