The generator matrix

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

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+77x^10+62x^11+177x^12+238x^13+320x^14+426x^15+439x^16+570x^17+454x^18+482x^19+348x^20+210x^21+160x^22+54x^23+56x^24+6x^25+13x^26+3x^28

The gray image is a linear code over GF(2) with n=34, k=12 and d=10.
This code was found by Heurico 1.16 in 0.199 seconds.