The generator matrix

 1  0  0  0  0  1  1  1  1 X^2+X X^2 X^2  1  1  1  0  1
 0  1  0  0  0  0 X^2+1 X+1 X^2+1  1  X  0  X  1 X^2 X^2 X^2
 0  0  1  0  0  1  1  X  0  1  1  1  0  1 X^2+1  X X^2
 0  0  0  1  0  1 X^2  0 X+1 X+1  X X^2+1 X^2  1 X^2+X X^2+X  0
 0  0  0  0  1  1 X^2+X  1  X X+1 X+1 X^2+1 X+1 X+1  X  0  0
 0  0  0  0  0  X  0 X^2 X^2+X  X X^2+X X^2  X  0 X^2 X^2+X  0

generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+132x^10+516x^11+1677x^12+4124x^13+8580x^14+15880x^15+21262x^16+26512x^17+21511x^18+15924x^19+8583x^20+4156x^21+1575x^22+448x^23+157x^24+24x^25+9x^26+1x^30

The gray image is a linear code over GF(2) with n=68, k=17 and d=20.
This code was found by Heurico 1.13 in 19.4 seconds.