The generator matrix

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

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+124x^61+340x^62+398x^63+499x^64+298x^65+456x^66+326x^67+349x^68+216x^69+279x^70+210x^71+174x^72+110x^73+120x^74+66x^75+65x^76+32x^77+19x^78+8x^79+4x^81+2x^82

The gray image is a linear code over GF(2) with n=268, k=12 and d=122.
This code was found by Heurico 1.11 in 0.297 seconds.