The generator matrix

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

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+294x^18+844x^19+1579x^20+2416x^21+3598x^22+4900x^23+5345x^24+4900x^25+3834x^26+2660x^27+1439x^28+584x^29+242x^30+76x^31+50x^32+4x^33+2x^36

The gray image is a code over GF(2) with n=96, k=15 and d=36.
This code was found by Heurico 1.13 in 4.19 seconds.