The generator matrix

 1  0  0  0  0  0  1  1  1  1  0  1  X  1  1  0  1
 0  1  0  0  0  0  0  0  0 X+1  X X+1  1 X+1  0  1  0
 0  0  1  0  0  0  0  1  0  X  X  1  1  1 X+1  0  0
 0  0  0  1  0  0  0  1  1 X+1  1  1  X  0  0  0  0
 0  0  0  0  1  0  1  0  1  0  1  1  1  0  1  1  0
 0  0  0  0  0  1  1  1  0  1 X+1 X+1  X X+1  0  1  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  X  0
 0  0  0  0  0  0  0  0  X  X  0  X  X  0  X  X  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+119x^8+50x^9+460x^10+462x^11+1462x^12+1520x^13+2512x^14+3984x^15+3583x^16+4548x^17+3656x^18+3708x^19+2564x^20+1504x^21+1488x^22+544x^23+457x^24+58x^25+76x^26+6x^27+6x^28

The gray image is a linear code over GF(2) with n=34, k=15 and d=8.
This code was found by Heurico 1.16 in 5.78 seconds.