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 2X+2  0 2X+2  0 2X+2 2X  2  0 2X+2  0 2X+2  0 2X+2 2X  2  0 2X 2X 2X+2  2  0 2X  0
 0  0 2X  0  0  0 2X  0  0 2X 2X 2X  0 2X 2X 2X 2X 2X  0  0 2X 2X 2X  0
 0  0  0 2X  0  0  0 2X 2X 2X 2X 2X 2X  0 2X  0 2X  0  0 2X  0  0 2X  0
 0  0  0  0 2X 2X 2X 2X 2X  0  0 2X  0 2X 2X  0 2X  0 2X 2X 2X 2X 2X  0

generates a code of length 24 over Z4[X]/(X^2+2) 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 -6.48e-008 seconds.