The generator matrix

 1  0  0  0  1  1  1  1  0  1  X  1  1  X  1  1  1
 0  1  0  0  1  0  0  1  1  0  0  X  0  0  X  0  0
 0  0  1  0  1  0  1  0  1  1  1 X+1  0  1  X  0  0
 0  0  0  1  1  1  0  0  1  1 X+1  1  X X+1  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  X  X  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  X  X  0  X  0  0  0  0
 0  0  0  0  0  0  0  X  0  X  0  X  0  X  0  0  0
 0  0  0  0  0  0  0  0  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 8.

Homogenous weight enumerator: w(x)=1x^0+91x^8+162x^10+64x^11+552x^12+384x^13+526x^14+960x^15+711x^16+1280x^17+724x^18+960x^19+520x^20+384x^21+556x^22+64x^23+173x^24+74x^26+6x^30

The gray image is a linear code over GF(2) with n=34, k=13 and d=8.
This code was found by Heurico 1.16 in 0.421 seconds.