The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+38x^56+90x^57+93x^58+100x^59+103x^60+68x^61+65x^62+76x^63+48x^64+50x^65+48x^66+26x^67+32x^68+38x^69+39x^70+24x^71+23x^72+20x^73+3x^74+14x^75+3x^76+6x^77+6x^78+8x^80+2x^82

The gray image is a linear code over GF(2) with n=126, k=10 and d=56.
This code was found by Heurico 1.10 in 0.047 seconds.