The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+126x^21+807x^22+654x^23+1172x^24+442x^25+616x^26+170x^27+74x^28+16x^29+17x^30+1x^32

The gray image is a code over GF(2) with n=192, k=12 and d=84.
This code was found by Heurico 1.16 in 0.062 seconds.