The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+91x^4+614x^5+3052x^6+17598x^7+53905x^8+111324x^9+54752x^10+16764x^11+3345x^12+638x^13+52x^14+6x^15+2x^16

The gray image is a code over GF(2) with n=72, k=18 and d=16.
This code was found by Heurico 1.16 in 17.3 seconds.