The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1 X^2+X  1  1  1  0  1 X^2+X  1  1  1  0  1 X^2+X  1  1  1  1  1  X  1 X^2  1  1  1  1  1  1 X^2+X  0  1  1  0  1  1  1 X^2+X  1  1 X^2  1  1  0  1  0 X^2  1  X X^2  1  0  1  1  1  1  0  1
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X  1 X^2+1 X+1  0  1 X^2+X  1 X^2+1 X^2+1  0  1 X^2+X  1 X+1 X+1 X^2+1 X^2+1 X^2  1 X+1  1 X^2+X+1 X^2+X X^2+1  X X+1  1  1  1 X^2+X+1 X^2+1  1  X  0  0  1  0 X^2+X+1  1 X^2  1  1 X^2+X  1  1  X  1  1 X+1 X^2 X^2  X  1 X+1 X^2 X^2+1
 0  0 X^2  0  0  0  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0
 0  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0  0  0  0 X^2
 0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0
 0  0  0  0  0 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 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 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  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 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+229x^60+260x^62+417x^64+268x^66+430x^68+220x^70+178x^72+20x^74+15x^76+2x^80+4x^84+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 1.04 seconds.