The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+8x^17+108x^18+8x^19+1x^20+1x^24+1x^28

The gray image is a code over GF(2) with n=144, k=7 and d=68.
This code was found by Heurico 1.16 in -3.24e-008 seconds.