The generator matrix

 1  0  0  0  1  1  1  X  1  1  1  1  2 X^2 X+2 X^2+X+2  1 X+2  0  2  1  X X^2+2  1
 0  1  0  0  X  3 X^2+1  1  X X^2+X+3 X+1  2  1  1 X+2  2 X^2+2  0 X^2+X  1 X^2+3  1  1  0
 0  0  1  0 X+1  1 X^2 X+1 X+2  2  1 X+1 X^2+1  X  1  2  1  1  1  0 X^2+1 X+2  2 X^2
 0  0  0  1  1 X^2 X^2+X+1  1 X+3 X^2+X+2 X^2+X+1  X X^2+X  1 X^2+3  1 X^2+X X^2+3 X^2+2 X+1 X^2+X+1 X^2 X^2 X^2+2
 0  0  0  0 X^2  0  0  0  0  0  2  2 X^2 X^2 X^2+2 X^2+2 X^2+2  2 X^2  2 X^2 X^2 X^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+192x^18+1120x^19+4838x^20+12050x^21+30345x^22+50826x^23+63143x^24+50844x^25+30956x^26+12086x^27+4382x^28+1026x^29+265x^30+46x^31+18x^32+2x^34+2x^35+2x^36

The gray image is a code over GF(2) with n=192, k=18 and d=72.
This code was found by Heurico 1.16 in 152 seconds.