The generator matrix

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

generates a code of length 23 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+22x^18+12x^19+36x^20+32x^21+267x^22+296x^23+260x^24+32x^25+26x^26+12x^27+20x^28+4x^30+3x^32+1x^38

The gray image is a code over GF(2) with n=184, k=10 and d=72.
This code was found by Heurico 1.16 in 0.016 seconds.