The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  X  1  1 X^2  1 X^2  1  1  0  1  1  X  1  1  0  1  1 X^2  X  1  1  1  0  X X^2 X^2 X^2
 0  X  0  0  0  X X^2+X  X X^2 X^2 X^2+X  0 X^2+X X^2 X^2+X  X X^2  0 X^2+X X^2+X X^2  0 X^2+X  0 X^2+X  0  0 X^2+X X^2+X X^2 X^2+X  X  X X^2  X X^2+X X^2+X X^2  X  0 X^2+X  0  X X^2+X  X  X  0 X^2  0 X^2  X X^2  0  0 X^2  0  X  0 X^2+X X^2+X X^2+X  X X^2+X  X  X  X
 0  0  X  0  X  X  X  0 X^2  0 X^2+X X^2+X X^2  X  X X^2  0 X^2+X  X X^2 X^2+X X^2 X^2  0  X  X X^2+X  X X^2+X  0  0  0  X  0 X^2+X  X X^2+X X^2  0  0  0  X X^2+X X^2 X^2  X  0 X^2 X^2  X  0  0 X^2+X X^2 X^2+X  X  0 X^2+X  X  0 X^2 X^2 X^2+X X^2+X X^2+X  X
 0  0  0  X  X  0  X X^2+X  0  X X^2 X^2  X X^2+X X^2+X  0  X X^2  0  X X^2 X^2 X^2  0  X X^2+X  X X^2 X^2+X  X  0 X^2+X  0 X^2+X  0 X^2  X  X X^2+X X^2+X  X X^2  0 X^2+X X^2+X  X  X  X X^2  0  X X^2  0  X X^2 X^2  X  0 X^2+X  0  0 X^2  0  X  0 X^2
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2 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 X^2 X^2 X^2 X^2
 0  0  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 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+54x^59+136x^60+136x^61+80x^62+136x^63+271x^64+192x^65+171x^66+226x^67+134x^68+132x^69+101x^70+70x^71+64x^72+40x^73+28x^74+20x^75+24x^76+12x^77+2x^78+2x^79+8x^80+1x^82+4x^83+2x^84+1x^102

The gray image is a linear code over GF(2) with n=264, k=11 and d=118.
This code was found by Heurico 1.16 in 58.2 seconds.