The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2X+2) 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 -1.01e-007 seconds.