The generator matrix

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

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+102x^10+120x^11+128x^12+48x^13+72x^14+24x^15+15x^16+2x^18

The gray image is a linear code over GF(2) with n=48, k=9 and d=20.
As d=20 is an upper bound for linear (48,9,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 9.
This code was found by Heurico 1.11 in -1.01e-007 seconds.