The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+169x^18+1162x^19+4527x^20+13006x^21+29909x^22+49574x^23+64175x^24+51254x^25+30523x^26+12310x^27+4045x^28+1114x^29+263x^30+90x^31+20x^32+2x^33

The gray image is a code over GF(2) with n=192, k=18 and d=72.
This code was found by Heurico 1.16 in 148 seconds.