The generator matrix

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

generates a code of length 24 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+10x^20+8x^21+15x^22+28x^23+401x^24+20x^25+10x^26+4x^27+4x^28+4x^29+6x^30+1x^46

The gray image is a code over GF(2) with n=192, k=9 and d=80.
This code was found by Heurico 1.16 in 0.016 seconds.