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

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+42x^54+68x^55+119x^56+182x^57+192x^58+268x^59+315x^60+368x^61+389x^62+370x^63+378x^64+322x^65+281x^66+214x^67+155x^68+142x^69+93x^70+58x^71+36x^72+32x^73+23x^74+14x^75+18x^76+10x^77+3x^78+2x^80+1x^94

The gray image is a linear code over GF(2) with n=252, k=12 and d=108.
This code was found by Heurico 1.16 in 1.24 seconds.