The generator matrix

 1  0  0  0  1  1  1 X+2  1  1  1  1  0  0 X+2  1  X  1  0  1  1  2  1  1
 0  1  0  0  0  1  3  1 X+1  2  X X+3  1  1  2  3  X  2  1  2  X  1  3  X
 0  0  1  0  1  1  2 X+1 X+2  3  X X+1 X+1  0  1 X+3  1  X X+3  0  1 X+3  2 X+1
 0  0  0  1  1  2  1 X+1  X  X X+1 X+3  2  1  1  3 X+2  2  2 X+3  2 X+3 X+3  1
 0  0  0  0  X  0  0  0  0  2  2  2  2 X+2 X+2  X  X  X X+2  X  2  X  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+112x^18+394x^19+806x^20+1328x^21+1893x^22+2298x^23+2537x^24+2534x^25+1988x^26+1290x^27+712x^28+308x^29+133x^30+30x^31+8x^32+6x^33+2x^34+4x^35

The gray image is a code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.13 in 1.13 seconds.