The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^17+1065x^18+4200x^19+12055x^20+29426x^21+52278x^22+62914x^23+53506x^24+29810x^25+11607x^26+3828x^27+1027x^28+230x^29+40x^30+18x^31+3x^32+2x^34

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 139 seconds.