The generator matrix

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

generates a code of length 24 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+86x^19+209x^20+356x^21+522x^22+596x^23+601x^24+580x^25+520x^26+336x^27+163x^28+84x^29+26x^30+4x^31+2x^32+4x^33+4x^34+2x^35

The gray image is a code over GF(2) with n=96, k=12 and d=38.
This code was found by Heurico 1.16 in 0.193 seconds.