The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  X  0  X  1  X
 0  X  0  0  0  X X+2  X  0  2  2  2  2  X X+2 X+2 X+2  X  X  0  0  0  0  2
 0  0  X  0  X  X X+2  0  0  0 X+2  X  2  X  2  X  X  X  0  X  0  X X+2  X
 0  0  0  X  X  0 X+2  X  2 X+2  X  0  2  2 X+2  0 X+2  2  0  X  X X+2  X  2
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  0  2  2  0  2  0  2  0  0  2
 0  0  0  0  0  2  0  2  0  0  2  2  0  0  0  2  0  2  0  2  2  2  0  0
 0  0  0  0  0  0  2  2  2  2  0  0  0  0  0  2  2  2  2  0  2  2  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+167x^18+310x^20+96x^21+617x^22+416x^23+877x^24+416x^25+639x^26+96x^27+317x^28+107x^30+30x^32+6x^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 0.39 seconds.