The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^6+80x^7+593x^8+608x^9+593x^10+80x^11+46x^12+1x^18

The gray image is a code over GF(2) with n=72, k=11 and d=24.
This code was found by Heurico 1.16 in 3.62e-008 seconds.