The generator matrix

 1  1  1  1  1  1  1  1  X  0  1  1  1  1  1  1  1  1 X^2+2  1  X  1  1
 0  X X^2+2 X^2+X  0 X^2+X X^2+2 X+2 X^2+X  X  0 X^2+2 X+2 X^2+X  0 X^2+X X^2+X+2 X^2+X  X X+2 X^2+X  0  2
 0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2
 0  0  0  2  0  0  2  0  2  2  2  0  0  2  2  2  0  2  2  2  0  0  0
 0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  0  0  0  2  0  2  0  0
 0  0  0  0  0  2  2  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  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+12x^18+52x^19+42x^20+256x^21+336x^22+664x^23+329x^24+256x^25+31x^26+52x^27+9x^28+3x^30+2x^32+1x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=184, k=11 and d=72.
This code was found by Heurico 1.16 in 0.031 seconds.