The generator matrix

 1  0  1 X^2+X  1 X^2+2  1 X+2 X^2
 0  1 X^2+X  1 X^2+2  1 X+2  1 X^2+2
 0  0  2  2  2  2  0  0  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+270x^8+224x^10+16x^12+1x^16

The gray image is a code over GF(2) with n=72, k=9 and d=32.
This code was found by Heurico 1.16 in 0.063 seconds.