The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+250x^19+770x^20+2166x^21+3020x^22+3968x^23+3214x^24+2004x^25+624x^26+290x^27+46x^28+22x^29+4x^30+4x^31+1x^32

The gray image is a code over GF(2) with n=184, k=14 and d=76.
This code was found by Heurico 1.16 in 1.8 seconds.