The generator matrix
1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 2 1 1 X X 1
0 2X+2 0 2X+2 0 2X+2 0 2 2X 2X+2 0 0 2X+2 2X+2 2X+2 2 2X+2 2X+2 2X+2 2X 0 2X+2 2X+2 0
0 0 2X 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0
0 0 0 2X 0 0 0 2X 0 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 0
0 0 0 0 2X 0 0 0 0 2X 2X 2X 0 2X 0 0 2X 2X 0 0 2X 0 2X 0
0 0 0 0 0 2X 0 2X 0 2X 2X 0 2X 0 2X 0 0 2X 0 2X 2X 0 2X 2X
0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 0 2X
generates a code of length 24 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+19x^18+16x^19+57x^20+48x^21+115x^22+448x^23+656x^24+448x^25+100x^26+48x^27+46x^28+16x^29+20x^30+7x^32+1x^34+1x^36+1x^38
The gray image is a code over GF(2) with n=192, k=11 and d=72.
This code was found by Heurico 1.16 in 0.047 seconds.