The generator matrix

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

generates a code of length 23 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+482x^18+1990x^19+6792x^20+14170x^21+26663x^22+30106x^23+27857x^24+14356x^25+6248x^26+1738x^27+546x^28+98x^29+15x^30+6x^31+4x^32

The gray image is a code over GF(2) with n=184, k=17 and d=72.
This code was found by Heurico 1.16 in 37.9 seconds.