The generator matrix

 1  0  1
 0  1 X+1
 0  0 X^3

generates a code of length 3 over Z2[X]/(X^4) who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+87x^2+336x^3+87x^4+1x^6

The gray image is a linear code over GF(2) with n=24, k=9 and d=8.
As d=8 is an upper bound for linear (24,9,2)-codes, this code is optimal over Z2[X]/(X^4) for dimension 9.
This code was found by Heurico 1.16 in -6.48e-008 seconds.