The generator matrix

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

generates a code of length 23 over Z4[X]/(X^3+2,2X) 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 0.062 seconds.