The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+58x^18+2x^20+2x^22+1x^24

The gray image is a code over GF(2) with n=144, k=6 and d=72.
This code was found by Heurico 1.16 in -3.24e-008 seconds.