The generator matrix

 1  0  0  1  1  1 X^3  1  1  1  1  X X^3+X X^3+X^2 X^3+X  1  1  1  0  1 X^3+X^2+X  1 X^2+X X^3+X  1  1  1 X^2  0  1  X X^3  1  X  1 X^3+X^2+X X^3+X  1 X^3+X^2+X X^2 X^3  1  1 X^3+X  1  1  1  1 X^3+X^2  1  1  1  1  1 X^3 X^3+X^2  1  1  1  1  1  1  1
 0  1  0 X^3 X^2+1 X^3+X^2+1  1  X X^3+X X^3+X^2+X+1 X^2+X+1  1 X^2  1  1 X^2+X X^3+X^2+1 X^3+1 X^3+X^2+X  0  1 X+1  1  1 X^2+X+1 X^3+X^2+X  X  1  1 X^2  0  1 X^3+X^2 X^3+X^2+X X+1  1  1  1  1  1  X X^3+X X+1  X X^3+X+1 X^3+X^2  1 X^2  1  X X^3 X^3+X^2+X X^2+1 X^3+X+1  1  1 X^3+X^2+X+1 X^2+X+1 X^2+X+1  0 X^3+X^2+X X^3+X^2+1  0
 0  0  1 X^3+X+1 X+1 X^3 X^3+X+1 X^3+X X^3+1  1  X  X  1 X^3+1 X^2 X^3+X+1 X^3+X^2+X X^3+X^2+1  1 X^3+X X^3+1 X^3 X^3+X^2+X X+1 X+1 X^2+1  0 X^3+X^2+X X^2+X+1 X^3+1  1 X^2  X  1 X^3+X^2+X X^3+X^2 X^2+X+1 X^2+X X^3+X^2+1 X^3+X  1 X+1 X^3+X^2+1  1 X^2 X^3+X^2+X+1 X^3+X+1 X+1  0 X^3+X^2 X^3+X^2+1 X^3+1 X^3+X^2 X^3+X+1 X^2+1  X X^2+X+1 X^2+X X^2 X^2 X^3 X^2+1  0

generates a code of length 63 over Z2[X]/(X^4) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+124x^59+578x^60+716x^61+662x^62+514x^63+398x^64+376x^65+322x^66+122x^67+110x^68+64x^69+61x^70+32x^71+8x^72+3x^74+4x^75+1x^76

The gray image is a linear code over GF(2) with n=504, k=12 and d=236.
This code was found by Heurico 1.16 in 2.03 seconds.