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.