The generator matrix

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

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+142x^54+512x^55+903x^56+1412x^57+1652x^58+2156x^59+2321x^60+2806x^61+2913x^62+3118x^63+2963x^64+3022x^65+2400x^66+2052x^67+1613x^68+1212x^69+653x^70+440x^71+231x^72+130x^73+70x^74+24x^75+10x^77+10x^78+2x^79

The gray image is a linear code over GF(2) with n=252, k=15 and d=108.
This code was found by Heurico 1.13 in 12.9 seconds.