The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  1 X^2  1  1  X  1  1  X  1  1  1 X^2  0  1  0  0  1  1  1  1  1  X  1  1  1
 0  X  0  0  0  X X^2+X  X X^2 X^2  X  0  0  X  X X^2+X  0  0 X^2+X  X X^2  X X^2+X  X X^2  0 X^2 X^2 X^2+X  0  X X^2+X  X X^2+X X^2+X  X  X  X  0  X  0 X^2 X^2+X  0  0  0 X^2  X X^2  X X^2  X  0 X^2  X  0  0 X^2  X X^2+X  0 X^2 X^2
 0  0  X  0  X  X  X  0 X^2  0 X^2+X  X X^2+X  0 X^2+X  0 X^2 X^2+X X^2 X^2+X  0 X^2  X  0 X^2+X X^2+X  X X^2  X X^2  0 X^2+X  X  X  0 X^2 X^2+X  X X^2+X X^2 X^2+X  0 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X  X X^2+X  X  X  0 X^2  X X^2+X X^2  X  X X^2+X  0
 0  0  0  X  X  0  X X^2+X  0  X X^2  X X^2 X^2+X  X  0 X^2  X  X  0 X^2+X X^2 X^2+X X^2+X  0  0 X^2+X  X  X  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2+X  X X^2  X X^2 X^2+X  X X^2  X X^2+X X^2 X^2  X X^2+X X^2 X^2+X  0  0  X X^2+X  0 X^2+X X^2+X  0 X^2+X
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2
 0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+61x^56+128x^57+60x^58+142x^59+76x^60+318x^61+93x^62+394x^63+54x^64+344x^65+47x^66+88x^67+45x^68+72x^69+37x^70+12x^71+16x^72+32x^73+16x^74+2x^75+3x^76+2x^77+2x^78+2x^79+1x^106

The gray image is a linear code over GF(2) with n=252, k=11 and d=112.
This code was found by Heurico 1.16 in 0.423 seconds.