The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+211x^18+1044x^19+4621x^20+12718x^21+30016x^22+50982x^23+62279x^24+51930x^25+30296x^26+12298x^27+4419x^28+1010x^29+244x^30+58x^31+8x^32+6x^33+1x^34+2x^35

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 154 seconds.