The generator matrix

 1  0  1  1  1  2  1  1  X  1  1  1 X+2  1  X  1  1  X
 0  1  1 X+2 X+1  1  2 X+3  1 X+2  0  3  1  0  X  X X+2 X+2
 0  0  X  0  2  X X+2  X X+2  2 X+2  0  2  0 X+2  X X+2  X
 0  0  0  2  2  2  0  2  0  0  2  0  2  2  2  0  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+209x^16+128x^18+152x^20+22x^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 0.437 seconds.