The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+441x^18+2120x^19+6692x^20+14012x^21+27002x^22+29928x^23+27963x^24+14128x^25+6271x^26+1936x^27+474x^28+84x^29+12x^30+6x^32+2x^34

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 37.1 seconds.