The generator matrix

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

generates a code of length 9 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+30x^6+161x^8+128x^9+161x^10+30x^12+1x^18

The gray image is a code over GF(2) with n=72, k=9 and d=24.
This code was found by Heurico 1.16 in 0.016 seconds.