The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  X  1  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  0  0 X+1  X  0
 0  0  X  0  0  0  0  0  0  0  X  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  0  X  X  X  0  X  0  0  0
 0  0  0  0  X  0  0  0  X  X  0  0  X  X  X  X  0
 0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  X  X
 0  0  0  0  0  0  X  0  X  0  X  0  X  X  0  0  X
 0  0  0  0  0  0  0  X  X  X  0  X  0  0  X  X  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+14x^10+14x^11+39x^12+54x^13+82x^14+110x^15+123x^16+150x^17+118x^18+122x^19+80x^20+50x^21+38x^22+10x^23+12x^24+2x^25+4x^26+1x^28

The gray image is a linear code over GF(2) with n=34, k=10 and d=10.
This code was found by Heurico 1.16 in 0.0128 seconds.