The generator matrix

 1  0  1  1  1 X+2  1  1 2X+2  1  1 3X  1  1  1  1  X  X
 0  1 X+1 X+2  3  1 2X+2 3X+3  1 3X 2X+1  1  0 X+2 3X 2X+2 X+2 3X
 0  0 2X  0 2X  0  0 2X  0  0 2X  0 2X  0 2X  0 2X 2X
 0  0  0 2X 2X 2X 2X 2X 2X  0  0  0 2X  0 2X  0  0  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+210x^16+128x^17+352x^18+128x^19+200x^20+4x^24+1x^32

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 6.87e-008 seconds.