The generator matrix
1 0 1 1 1 0 1 1 X^2 1 X 1 1 X 1 X^2 X
0 1 1 0 X+1 1 X+1 0 1 X^2 1 X^2+X+1 X X^2+X X^2+X X X^2
0 0 X 0 0 0 X X^2+X X X X^2+X 0 X^2 X X^2 X^2+X 0
0 0 0 X 0 X^2+X X X X^2 X^2 0 X X^2+X X 0 X^2 X
0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0
0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2
generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+120x^12+84x^13+336x^14+532x^15+558x^16+840x^17+544x^18+488x^19+408x^20+100x^21+80x^22+4x^23+1x^32
The gray image is a linear code over GF(2) with n=68, k=12 and d=24.
This code was found by Heurico 1.16 in 0.116 seconds.