The generator matrix

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

generates a code of length 63 over Z2[X]/(X^4) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+534x^58+1008x^59+1759x^60+1862x^61+2343x^62+2132x^63+2161x^64+1602x^65+1249x^66+644x^67+595x^68+248x^69+134x^70+40x^71+44x^72+14x^73+11x^74+2x^77+1x^78

The gray image is a linear code over GF(2) with n=504, k=14 and d=232.
This code was found by Heurico 1.16 in 149 seconds.