The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+247x^12+914x^13+2079x^14+4468x^15+7816x^16+10942x^17+12451x^18+11032x^19+7897x^20+4654x^21+2029x^22+692x^23+227x^24+66x^25+17x^26+4x^28

The gray image is a code over GF(2) with n=72, k=16 and d=24.
This code was found by Heurico 1.13 in 8.03 seconds.