The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+34x^10+16x^11+84x^12+96x^13+148x^14+240x^15+245x^16+320x^17+245x^18+240x^19+148x^20+96x^21+84x^22+16x^23+34x^24+1x^34

The gray image is a linear code over GF(2) with n=34, k=11 and d=10.
This code was found by Heurico 1.16 in 12.2 seconds.