The generator matrix
1 0 1 1 1 X^2+X 1 1 0 1 1 0 1 1 X^2 X 0
0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X+1 1 0 X^2+X+1 1 X^2+X X
0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0
0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2
0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2
generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+72x^14+48x^15+87x^16+96x^17+87x^18+48x^19+72x^20+1x^34
The gray image is a linear code over GF(2) with n=68, k=9 and d=28.
This code was found by Heurico 1.16 in 0.00498 seconds.