The generator matrix

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

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+395x^16+320x^17+648x^18+320x^19+340x^20+8x^22+16x^24

The gray image is a code over GF(2) with n=144, k=11 and d=64.
This code was found by Heurico 1.16 in 45.4 seconds.