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.