The generator matrix

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

generates a code of length 24 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+74x^19+706x^20+1370x^21+4186x^22+5986x^23+8132x^24+6030x^25+4244x^26+1262x^27+594x^28+118x^29+50x^30+6x^31+7x^32+2x^33

The gray image is a code over GF(2) with n=192, k=15 and d=76.
This code was found by Heurico 1.16 in 2.75 seconds.