The generator matrix

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

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+94x^18+260x^19+435x^20+604x^21+871x^22+1154x^23+1274x^24+1268x^25+942x^26+576x^27+359x^28+188x^29+107x^30+42x^31+11x^32+4x^33+2x^34

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 0.828 seconds.