The generator matrix

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

generates a code of length 24 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+124x^18+750x^19+2553x^20+7414x^21+13940x^22+25888x^23+29545x^24+25996x^25+14384x^26+7214x^27+2259x^28+798x^29+156x^30+36x^31+10x^32+4x^34

The gray image is a code over GF(2) with n=192, k=17 and d=72.
This code was found by Heurico 1.16 in 36.6 seconds.