The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  0  1  1  X  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  1  1  0
 0  0  1  1  1  0  1  0  1  1  0  0  0  X X+1  1  0
 0  0  0  X  0  0  0  0  0  0  X  X  X  X  0  X  0
 0  0  0  0  X  0  0  0  0  X  X  X  0  0  X  X  0
 0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  X  0
 0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  0  X
 0  0  0  0  0  0  0  X  X  X  0  X  0  X  X  0  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+25x^10+24x^11+91x^12+96x^13+162x^14+232x^15+223x^16+320x^17+244x^18+232x^19+172x^20+96x^21+78x^22+24x^23+24x^24+3x^26+1x^28

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 0.0517 seconds.