The generator matrix

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

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+100x^60+396x^61+375x^62+470x^63+391x^64+372x^65+258x^66+398x^67+252x^68+256x^69+182x^70+230x^71+120x^72+116x^73+82x^74+50x^75+16x^76+12x^77+15x^78+4x^79

The gray image is a linear code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 0.698 seconds.