The generator matrix

 1  0  1  1  1  X  1  1  1  1 X+2  2  0  0  2 X+2  X  0
 0  1  1  2 X+1  1  X X+3 X+2  3  1  X  0  1  1  1  1  1
 0  0  X X+2  2 X+2  X X+2  2  0 X+2 X+2  X  2  2  0  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+53x^16+96x^17+32x^18+32x^20+32x^21+10x^24

The gray image is a code over GF(2) with n=72, k=8 and d=32.
This code was found by Heurico 1.16 in 0.00202 seconds.