The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  2  1  0  1  1  1  1  X  0  X  1
 0  1  1 X+2 X+3  1  0 X+1  1  3  1  X  2  1 X+1  1  0  1  X  X  2  0  X  0
 0  0  X  0 X+2  0 X+2  0  X  2  X  X  X X+2  0  2  0 X+2 X+2 X+2  X  X  X  0
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  0  0  2  0  2  0  2  2
 0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  0  2  2  2  2  0  0  2
 0  0  0  0  0  2  0  2  0  2  0  0  0  0  2  2  2  2  0  2  0  0  2  2
 0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  2  2  2  2  0  0  0  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+33x^18+148x^19+130x^20+468x^21+220x^22+928x^23+273x^24+904x^25+217x^26+500x^27+97x^28+100x^29+39x^30+24x^31+10x^32+2x^34+1x^36+1x^38

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 0.204 seconds.