The generator matrix

 1  0  1  1  1 X+2  1  2  1  0  1  1  X  1  2  1  X  1 X+2  1  1  1 X+2  1
 0  1  1  0 X+3  1  X  1 X+1  1  0  1  1  X  1  2  1 X+1  1 X+2  1  3  1  0
 0  0  X  0 X+2  0  0  2  X  X X+2  2  X X+2 X+2 X+2  X  2  X  X  2 X+2 X+2  0
 0  0  0  X  0  0 X+2 X+2  X  X  X X+2  2  2  0  2  2  2  X X+2 X+2 X+2  X  0
 0  0  0  0  2  0  2  0  2  0  0  2  2  0  0  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  2  0  0  2  0

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+41x^18+122x^19+141x^20+398x^21+346x^22+764x^23+492x^24+768x^25+340x^26+386x^27+122x^28+110x^29+38x^30+8x^31+11x^32+4x^33+3x^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 0.211 seconds.