The generator matrix

 1  0  0  0  1  1  1  X X^2  1  1  0 X^2  1  1  1 X^2+X X^2 X^2+X  1  1  1  1 X^2+X X^2  1 X^2+X  1  1  0  1  1  1  X  1  0 X^2+X  X X^2  1  1 X^2+X  1  0  1  X  1  1  1  1  1  1  1  1 X^2  1  1 X^2 X^2  X X^2+X  0 X^2  X  1  X
 0  1  0  0  1 X^2  1  1  0  1 X^2  1  1  X  1 X^2+X  1  X  1 X+1 X^2+X X^2+X X^2+X+1  X X^2+X X^2+1  1  1  X  1  0 X^2+X+1  1  0 X^2+1 X^2+X  X  1  1 X+1  0 X^2 X+1 X^2+X X^2  1 X^2+1 X^2+1  0  X X^2+X X+1 X+1  1  X X^2+1  X  1  X  1  1  0  1  1 X^2+X+1 X^2+X
 0  0  1  0  X  0 X^2+X X^2  1 X^2+X+1  1 X^2+X+1 X^2+X+1  1 X^2+1 X+1  1  1 X^2  0 X^2+X  0  X  1 X^2 X^2+1 X^2+X+1  1 X+1  0 X^2+1  1  0  0 X^2+X  1  X X^2  X X^2 X^2+1 X^2+X  X  1 X^2+X X^2+1 X^2+X+1  0  X  1 X^2 X^2+X  1 X+1  X  1 X^2+1 X^2+X+1  X  1  X  X X^2+X+1  0 X+1  X
 0  0  0  1  X  1 X+1  1  1 X^2+1 X^2+X X^2+X X+1 X+1 X^2  0 X^2+1  0 X^2+X+1 X^2+X X^2+X X+1 X^2+X+1 X^2+X+1  1 X^2+X+1 X^2  X  1  X X+1  0 X+1  1 X^2  1  1  X X^2+1 X+1  1  1 X^2+1 X^2+X X+1  X X^2+1 X^2+X X^2  1 X^2  1 X^2+1 X^2  1 X^2 X^2+X+1 X^2  1 X+1 X+1  1  X X^2+X+1 X^2+X  1
 0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0 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+162x^59+408x^60+594x^61+667x^62+680x^63+705x^64+748x^65+730x^66+684x^67+594x^68+478x^69+506x^70+400x^71+304x^72+236x^73+138x^74+82x^75+34x^76+22x^77+7x^78+8x^79+2x^80+2x^85

The gray image is a linear code over GF(2) with n=264, k=13 and d=118.
This code was found by Heurico 1.11 in 1.09 seconds.