The generator matrix

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

generates a code of length 17 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+39x^12+152x^13+255x^14+510x^15+602x^16+978x^17+605x^18+532x^19+249x^20+116x^21+33x^22+14x^23+5x^24+2x^25+3x^26

The gray image is a linear code over GF(2) with n=68, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0898 seconds.