The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^18+120x^19+184x^20+386x^21+806x^22+1046x^23+809x^24+380x^25+164x^26+108x^27+23x^28+2x^29+14x^30+6x^31+6x^32+1x^36

The gray image is a code over GF(2) with n=184, k=12 and d=72.
This code was found by Heurico 1.16 in 0.11 seconds.