The generator matrix

 1  0  1  1 X^2+X  1  1  1  X  1  1 X^2+2  1  2  1 X^2  1  0  X  0 X^2+X  1  0  1
 0  1  1 X^2+X  1 X+3 X^2+3 X^2  1  X X^2+X+3  1  X  1  3  X X^2+2  1  0  0  1 X+3  1  0
 0  0  X  0  2 X^2 X^2+2  X  X X+2 X^2+X X^2+X+2 X^2+X X+2 X^2+X+2  X X^2+X+2 X^2+X X^2+X  X X^2+X  X X^2  0
 0  0  0  2  2  0  2  2  2  0  2  0  0  0  2  2  0  2  0  0  0  2  0  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+56x^20+258x^21+600x^22+702x^23+1006x^24+652x^25+462x^26+200x^27+86x^28+42x^29+26x^30+2x^31+3x^32

The gray image is a code over GF(2) with n=192, k=12 and d=80.
This code was found by Heurico 1.16 in 0.063 seconds.