The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2X+2) 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 3.81e-009 seconds.