The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+47x^16+4x^17+95x^18+28x^19+237x^20+212x^21+542x^22+524x^23+722x^24+524x^25+535x^26+212x^27+242x^28+28x^29+96x^30+4x^31+30x^32+9x^34+1x^36+2x^38+1x^42

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.17 seconds.