The generator matrix

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

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+128x^6+640x^7+2071x^8+6272x^9+15104x^10+25856x^11+30928x^12+25856x^13+15104x^14+6272x^15+2071x^16+640x^17+128x^18+1x^24

The gray image is a linear code over GF(2) with n=48, k=17 and d=12.
This code was found by Heurico 1.13 in 3.52 seconds.