The generator matrix

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

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+197x^16+128x^17+400x^18+128x^19+144x^20+16x^22+10x^24

The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 0.016 seconds.