The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+160x^17+1080x^18+4188x^19+12335x^20+27938x^21+54330x^22+61396x^23+55293x^24+28078x^25+12196x^26+3876x^27+913x^28+302x^29+42x^30+12x^31+2x^32+2x^33

The gray image is a code over GF(2) with n=184, k=18 and d=68.
This code was found by Heurico 1.16 in 141 seconds.