The generator matrix

 1  0  0  1  1  1 X+2  0  1 2X+2  1  1  1 3X 3X 3X 3X+2  1  1  1  0  1  1
 0  1  0  1  X X+3  1  1 2X+2  X 2X+1  X X+1  1 2X  1  1 3X+2  X X+1 2X 2X  0
 0  0  1  1  1  0  3 2X X+3  1  X  2 X+1 2X+1  1 X+2 X+3 X+1  2 2X+1  X 2X 2X
 0  0  0  X 2X 3X X+2  X  X 3X 2X+2 3X+2  0 2X+2 2X  0 3X+2 2X+2  X 2X+2 X+2 X+2 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+78x^18+624x^19+1821x^20+3342x^21+6782x^22+7356x^23+6955x^24+3518x^25+1594x^26+496x^27+163x^28+18x^29+10x^30+4x^31+4x^32+2x^33

The gray image is a code over GF(2) with n=184, k=15 and d=72.
This code was found by Heurico 1.16 in 2.61 seconds.