The generator matrix

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

generates a code of length 6 over Z2[X]/(X^3) who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+40x^2+48x^3+151x^4+336x^5+896x^6+336x^7+151x^8+48x^9+40x^10+1x^12

The gray image is a linear code over GF(2) with n=24, k=11 and d=4.
This code was found by Heurico 1.16 in 0.000955 seconds.