The generator matrix

 1  0  0  1  1  1  0  1  1  X X+2  1  0  1 X+2  X  1  1  1  X  1  0  1  1
 0  1  0  1  X X+3  1  0 X+3  1  X  2  1 X+1  1  1 X+3  3  X  1 X+1  X X+3  1
 0  0  1  1  1  0 X+3  X  X  1  1  1  X X+1  X X+1 X+1  X X+3 X+2  2  2  3  2
 0  0  0  X  0 X+2 X+2  X  2  2 X+2  0 X+2  0 X+2  X X+2 X+2 X+2  2  2 X+2  0  0
 0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  0  0  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  2  0  2  2  0  0  2  2  0  0  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  2  2  0  0  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+226x^18+320x^19+870x^20+1244x^21+1764x^22+2480x^23+2416x^24+2604x^25+1909x^26+1280x^27+776x^28+244x^29+196x^30+16x^31+31x^32+4x^33+2x^36+1x^42

The gray image is a code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.16 in 5.76 seconds.