The generator matrix

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

generates a code of length 6 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+57x^4+114x^5+173x^6+108x^7+54x^8+2x^9+3x^10

The gray image is a code over GF(2) with n=24, k=9 and d=8.
This code was found by Heurico 1.13 in -9.54e-008 seconds.