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.