The generator matrix

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

generates a code of length 24 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+70x^22+180x^23+119x^24+24x^25+56x^26+52x^27+8x^28+1x^30+1x^38

The gray image is a code over GF(2) with n=192, k=9 and d=88.
This code was found by Heurico 1.16 in -3.24e-008 seconds.