The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X  0  1  1  1 X^2+X  1  1 X^2+X  1  1  0 X^2  1  1  1  1  1 X^2+X  1  1  1 X^2+X  1 X^2+X  1  X  1  1  1  1  1  1  1  1  0  1  1  1  1  1  X  1  1  1  1  1 X^2  1  0  0  1
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X X^2+1  1  1  0 X+1 X^2+1  1 X^2+X X^2+1  1  0 X+1  1  1  X X^2+1  0 X^2+X X^2+X  1 X+1 X^2 X+1  1 X+1  1 X^2+1  1 X^2+X+1  0 X^2  0 X^2+X  X  X X^2+X  1 X^2+1 X^2+1  1 X^2+1 X^2+1  1  X  X  1  1 X^2+X+1  0 X^2+X+1  1  1  0
 0  0 X^2  0  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0
 0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0  0
 0  0  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0
 0  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 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+46x^56+56x^57+171x^58+146x^59+225x^60+128x^61+193x^62+122x^63+241x^64+136x^65+212x^66+102x^67+120x^68+64x^69+53x^70+14x^71+3x^72+3x^74+2x^76+6x^78+1x^80+1x^82+1x^84+1x^90

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 0.315 seconds.