The generator matrix

 1  1  1  1  1  1  1  1 2X
 0  X 2X+2 X+2  0 X+2 2X+2 3X 2X
 0  0 2X 2X 2X  0  0 2X  0

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

Homogenous weight enumerator: w(x)=1x^0+142x^8+96x^10+16x^12+1x^16

The gray image is a code over GF(2) with n=72, k=8 and d=32.
This code was found by Heurico 1.16 in -6.48e-008 seconds.