The generator matrix

 1  1  1  1  1  1  1  1  0  1  2  1  1  1  1  X  1  X
 0  X  0  X 2X  0 3X  X  X  2  X 3X+2 2X+2 2X+2 2X+2 X+2 X+2 3X+2
 0  0  X  X  2 X+2 X+2  2 2X  2 3X  X  0 3X+2  X X+2 3X+2 2X+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+222x^16+128x^17+352x^18+128x^19+167x^20+16x^22+9x^24+1x^28

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.