The generator matrix
1 1 1 1 1 1 1 1 1 1 1 X X 2 1 1 1 X X 1 X 1 0 1
0 X 0 X 0 0 X X+2 0 2 X 2 X X 2 0 X X X+2 X+2 X 0 0 0
0 0 X X 0 X+2 X 0 2 X X X X X+2 X+2 0 X+2 X+2 0 0 X 2 X 0
0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 2 0
0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 0
0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2
0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 2 2 2 2
generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+43x^18+56x^19+96x^20+172x^21+212x^22+284x^23+330x^24+296x^25+218x^26+160x^27+70x^28+44x^29+36x^30+12x^31+13x^32+3x^34+2x^36
The gray image is a code over GF(2) with n=96, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0797 seconds.