The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+110x^19+196x^20+630x^21+376x^22+1614x^23+245x^24+612x^25+157x^26+82x^27+38x^28+22x^29+10x^30+2x^31+1x^34

The gray image is a code over GF(2) with n=184, k=12 and d=76.
This code was found by Heurico 1.16 in 58.3 seconds.