The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  X
 0 X^2+2  0 X^2  0  2 X^2+2 X^2+2  0 X^2 X^2  2 X^2  2  0  2 X^2  0
 0  0 X^2+2 X^2  0 X^2 X^2  2  2 X^2  2  2 X^2+2 X^2 X^2+2  0  0  0
 0  0  0  2  2  2  0  2  2  0  0  0  2  0  2  0  2  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+62x^16+64x^17+280x^18+64x^19+24x^20+8x^22+8x^24+1x^32

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 6.87e-008 seconds.