The generator matrix

 1  0  1  1  1 X+2  1  1  1
 0  1 X+1 X+2  3  1 2X+2  0 X+2
 0  0 2X  0  0 2X 2X 2X  0
 0  0  0 2X  0 2X 2X  0  0
 0  0  0  0 2X 2X 2X 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+22x^6+96x^7+490x^8+832x^9+488x^10+96x^11+20x^12+2x^14+1x^16

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 0 seconds.