The generator matrix

 1  0  0  1  1  1  2  1  1  1 X+2  1  0  0  2  1 X+2  1  1  1  X  1  1  1
 0  1  0  1  X X+3  1  0 X+2  3  1  1  1 X+2  1  0  1 X+3  0  1  1  3 X+2  2
 0  0  1  1  1  0 X+1  X X+3 X+1  0 X+2 X+3  1  0 X+3 X+3 X+1 X+2  0  2  0 X+3  2
 0  0  0  X  0 X+2  X X+2 X+2  2  0  2  2 X+2 X+2  2  X X+2 X+2 X+2  X  0  2 X+2
 0  0  0  0  2  0  2  0  2  0  2  0  2  0  0  2  0  2  0  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  2  2  2  0  0  2  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+58x^18+186x^19+414x^20+668x^21+858x^22+1172x^23+1404x^24+1260x^25+936x^26+636x^27+350x^28+148x^29+66x^30+20x^31+7x^32+4x^33+2x^34+2x^35

The gray image is a code over GF(2) with n=96, k=13 and d=36.
This code was found by Heurico 1.16 in 0.745 seconds.