The generator matrix

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

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+76x^55+177x^56+296x^57+429x^58+628x^59+676x^60+686x^61+756x^62+804x^63+714x^64+682x^65+690x^66+578x^67+376x^68+206x^69+166x^70+70x^71+27x^72+38x^73+23x^74+18x^75+12x^76+12x^77+2x^78+2x^79+1x^80+2x^82+2x^86

The gray image is a linear code over GF(2) with n=252, k=13 and d=108.
This code was found by Heurico 1.16 in 4.19 seconds.