The generator matrix

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

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+268x^61+159x^62+556x^63+181x^64+510x^65+213x^66+624x^67+186x^68+430x^69+135x^70+328x^71+62x^72+186x^73+55x^74+104x^75+14x^76+38x^77+14x^78+20x^79+4x^80+8x^81

The gray image is a linear code over GF(2) with n=268, k=12 and d=122.
This code was found by Heurico 1.16 in 11.7 seconds.