The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  X  2  X  X
 0  X  0  0  0  0  0  0  0  X X+2  X  2  2  X  0  2 X+2  X  X  0  X X+2  2
 0  0  X  0  0  0  X X+2  X  X  X  0  0  X  2  X X+2 X+2  2  0  0  X  2  X
 0  0  0  X  0  X  X  X  2  0  0  2  2  2 X+2 X+2  0  X X+2 X+2  X  2  0  0
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0 X+2  X  2  X X+2  2 X+2  X  2  0  2
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  0  0  2  0  2  0  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+141x^18+8x^19+335x^20+128x^21+647x^22+336x^23+848x^24+448x^25+639x^26+104x^27+300x^28+137x^30+19x^32+4x^34+1x^36

The gray image is a code over GF(2) with n=96, k=12 and d=36.
This code was found by Heurico 1.16 in 0.294 seconds.