The generator matrix

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

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+39x^10+76x^11+155x^12+232x^13+304x^14+418x^15+511x^16+584x^17+542x^18+458x^19+316x^20+200x^21+136x^22+70x^23+40x^24+8x^25+3x^26+2x^27+1x^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 0.219 seconds.