The generator matrix

 1  1  1  1  1  1  1  1  X  0  1  1  1  1  1  1  1  1  2  1  X  1  1
 0  X  2 3X+2  0 3X+2  2 3X 3X+2  X  0  2 3X 3X+2  0 3X+2 X+2 3X+2  X 3X 3X+2  0 2X
 0  0 2X  0  0  0 2X  0  0  0 2X 2X  0  0 2X 2X 2X 2X  0  0  0 2X 2X
 0  0  0 2X  0  0 2X  0 2X 2X 2X  0  0 2X 2X 2X  0 2X 2X 2X  0  0  0
 0  0  0  0 2X  0 2X 2X 2X  0  0 2X 2X 2X  0  0  0  0 2X  0 2X  0  0
 0  0  0  0  0 2X 2X  0 2X 2X  0 2X 2X  0 2X  0 2X 2X 2X  0 2X 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+12x^18+52x^19+42x^20+256x^21+336x^22+664x^23+329x^24+256x^25+31x^26+52x^27+9x^28+3x^30+2x^32+1x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=184, k=11 and d=72.
This code was found by Heurico 1.16 in 0.046 seconds.