The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2
 0  X  0 X+2  2 3X+2 2X+2  X  0 2X X+2  2  2 X+2  X 3X  0 2X
 0  0 2X+2  0  2  2 2X  2  0  2  0 2X 2X+2 2X+2 2X+2  0 2X 2X
 0  0  0 2X 2X  0 2X 2X 2X 2X  0  0  0 2X  0 2X  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+270x^16+512x^18+224x^20+16x^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 45.5 seconds.