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

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+59x^10+80x^11+149x^12+236x^13+260x^14+400x^15+521x^16+588x^17+554x^18+464x^19+330x^20+196x^21+148x^22+80x^23+22x^24+4x^25+3x^26+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 1.10 in 0.078 seconds.