The generator matrix

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

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+14x^9+77x^10+168x^11+299x^12+412x^13+575x^14+906x^15+1050x^16+1116x^17+1137x^18+886x^19+631x^20+412x^21+253x^22+150x^23+65x^24+30x^25+6x^26+2x^27+2x^28

The gray image is a linear code over GF(2) with n=34, k=13 and d=9.
This code was found by an older version of Heurico in 0 seconds.