The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+196x^14+324x^15+555x^16+568x^17+796x^18+608x^19+572x^20+264x^21+172x^22+28x^23+8x^24+4x^26

The gray image is a code over GF(2) with n=72, k=12 and d=28.
This code was found by Heurico 1.16 in 0.119 seconds.