The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+151x^16+96x^17+88x^18+72x^19+44x^20+16x^21+24x^22+8x^23+12x^24

The gray image is a code over GF(2) with n=72, k=9 and d=32.
This code was found by Heurico 1.13 in 0.016 seconds.