The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  X  X  1
 0  1  1  0  1  1  0 X+1  1  0 X+1  1  0  X  X  0  0
 0  0  X  0  0  0  0  X  0  X  X  X  0  X  0  0  0
 0  0  0  X  0  0  X  X  0  X  0  X  0  0  X  0  0
 0  0  0  0  X  0  X  0  X  X  X  X  0  0  0  0  0
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  0  0

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+33x^12+4x^13+19x^14+20x^15+26x^16+40x^17+27x^18+40x^19+3x^20+20x^21+17x^22+4x^23+1x^24+1x^26

The gray image is a linear code over GF(2) with n=34, k=8 and d=12.
This code was found by Heurico 1.16 in -7.44e-008 seconds.