The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+102x^59+170x^60+286x^61+304x^62+340x^63+403x^64+336x^65+386x^66+340x^67+360x^68+318x^69+232x^70+174x^71+120x^72+94x^73+28x^74+22x^75+26x^76+14x^77+8x^78+10x^79+4x^80+6x^81+2x^82+4x^83+4x^84+2x^85

The gray image is a linear code over GF(2) with n=264, k=12 and d=118.
This code was found by Heurico 1.16 in 3.34 seconds.