The generator matrix

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

generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+133x^60+80x^61+258x^62+80x^63+264x^64+104x^65+256x^66+64x^67+295x^68+128x^69+198x^70+48x^71+89x^72+8x^73+18x^74+8x^76+2x^78+4x^80+2x^82+2x^84+2x^86+2x^88+2x^92

The gray image is a linear code over GF(2) with n=264, k=11 and d=120.
This code was found by Heurico 1.16 in 0.38 seconds.