The generator matrix

 1  0  0  0  1  1  1  2 X+2  0  2  1  1  1  2  1  X  X  1 X+2  1  X  2  0
 0  1  0  0  0  1  1  1  1  2  1  2  1  0  X X+2  1  1 X+1  1 X+3  2 X+2  1
 0  0  1  0  1  1  0  1  3  1  X X+1  0 X+2  1  2  2  3  3 X+3  3  1  1  0
 0  0  0  1  1  0  1 X+1  X X+1 X+1  X  X  3 X+3  2  0  1  X  0  1  2  2  0
 0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  2  2  0  0  2  0  0  0  0
 0  0  0  0  0  2  2  2  2  0  0  2  0  2  2  0  2  0  0  0  2  2  0  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+131x^18+372x^19+855x^20+1176x^21+1965x^22+2292x^23+2771x^24+2288x^25+2074x^26+1212x^27+741x^28+312x^29+146x^30+28x^31+16x^32+3x^34+1x^38

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 2.72 seconds.