The generator matrix

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

generates a code of length 9 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+3x^8+54x^9+4x^10+2x^13

The gray image is a code over GF(2) with n=72, k=6 and d=32.
This code was found by Heurico 1.16 in -6.48e-008 seconds.