The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2) 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 0.016 seconds.