The generator matrix

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

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+26x^19+153x^20+682x^21+626x^22+1178x^23+601x^24+636x^25+144x^26+22x^27+4x^28+10x^29+6x^30+6x^31+1x^36

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.