The generator matrix

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

generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+85x^8+112x^10+636x^12+1640x^14+5795x^16+5480x^18+1928x^20+440x^22+231x^24+8x^26+28x^28

The gray image is a linear code over GF(2) with n=68, k=14 and d=16.
This code was found by Heurico 1.16 in 0.449 seconds.