The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1
 0  X  0 X^2+X+2 X^2 X^2+X X^2+2  X  0  2 X^2+X X^2+X X^2+2 X^2+2 X+2  X  2  0
 0  0 X^2+2 X^2 X^2  0  2 X^2  2 X^2  2 X^2+2 X^2+2  0 X^2+2  2  0  0

generates a code of length 18 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+27x^16+272x^17+19x^18+128x^19+4x^20+48x^21+12x^22+1x^34

The gray image is a code over GF(2) with n=144, k=9 and d=64.
This code was found by Heurico 1.16 in 1.05e-007 seconds.