The generator matrix

 1  0  0  0  0  0  0  0  1  1  1  1  1  1  1  0  1
 0  1  0  0  0  0  0  0  0  0  1  0  0  1  X  1  X
 0  0  1  0  0  0  0  0  1  0  X X+1  1  X  0  0  0
 0  0  0  1  0  0  0  0  1  1  1  1  X  1  0  X X+1
 0  0  0  0  1  0  0  0  1  X  0  X  1 X+1  0  0  0
 0  0  0  0  0  1  0  0  1  X X+1  0 X+1  X  0  0  0
 0  0  0  0  0  0  1  0  1 X+1  X  X X+1  0  0  0  0
 0  0  0  0  0  0  0  1  X  1  1 X+1 X+1 X+1  0  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+225x^8+266x^9+536x^10+860x^11+2048x^12+3370x^13+5296x^14+7264x^15+8035x^16+9284x^17+8352x^18+7224x^19+5560x^20+3284x^21+2128x^22+1024x^23+507x^24+178x^25+72x^26+12x^27+8x^28+2x^29

The gray image is a linear code over GF(2) with n=34, k=16 and d=8.
This code was found by Heurico 1.11 in 15.1 seconds.