The generator matrix

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

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+82x^19+283x^20+512x^21+744x^22+890x^23+756x^24+480x^25+241x^26+62x^27+15x^28+16x^29+6x^30+6x^31+1x^32+1x^34

The gray image is a code over GF(2) with n=184, k=12 and d=76.
This code was found by Heurico 1.16 in 0.078 seconds.