The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+193x^16+160x^18+120x^20+32x^22+6x^24

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 0.173 seconds.