The generator matrix

 1  0  0  0  1  1  1  1 3X  1  X 2X+2  1  1 3X  1  1  2  1  1 3X  1  1
 0  1  0  0  0 2X 2X+3 3X+1  1 2X+2 X+2  1 2X+1 3X+1  1  1  X  1 3X+2 X+3  1  0 3X+2
 0  0  1  0  1 X+2 2X+2 3X  X X+1  1 X+3  3 X+1 2X+3  2 X+3 3X+3 3X+2  0 2X+2 3X+2  0
 0  0  0  1  1 X+1 3X+3 2X X+1  X 2X+1 X+3 X+2 3X+3 X+2  X X+2  1 2X+1 3X  3  3 X+2
 0  0  0  0 2X  0  0  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X 2X  0 2X  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+467x^18+2232x^19+6331x^20+14988x^21+24131x^22+34004x^23+25175x^24+15432x^25+5777x^26+1840x^27+553x^28+108x^29+25x^30+4x^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 38.7 seconds.