The generator matrix

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

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+290x^59+523x^60+648x^61+504x^62+408x^63+412x^64+540x^65+404x^66+202x^67+45x^68+72x^69+12x^70+12x^71+16x^72+4x^73+1x^80+2x^84

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 0.406 seconds.