The generator matrix

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

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+60x^9+174x^10+128x^11+304x^12+144x^13+144x^14+48x^15+15x^16+4x^17+2x^18

The gray image is a linear code over GF(2) with n=48, k=10 and d=18.
This code was found by Heurico 1.11 in 1.05e-007 seconds.