The generator matrix

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

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+108x^62+176x^63+308x^64+264x^65+256x^66+200x^67+193x^68+88x^69+134x^70+64x^71+70x^72+56x^73+16x^74+24x^75+21x^76+8x^77+22x^78+16x^79+23x^80

The gray image is a linear code over GF(2) with n=268, k=11 and d=124.
This code was found by Heurico 1.11 in 0.172 seconds.