The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  X  2  1  1  1  X  X  1  X  1  0  1
 0  X  0  X  0  0  X X+2  0  2  X  2  X  X  2  0  X  X X+2 X+2  X  0  0  0
 0  0  X  X  0 X+2  X  0  2  X  X  X  X X+2 X+2  0 X+2 X+2  0  0  X  2  X  0
 0  0  0  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  2  2  2  0  2  0
 0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  0  0  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  2  2  2
 0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  0  2  2  0  2  2  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+43x^18+56x^19+96x^20+172x^21+212x^22+284x^23+330x^24+296x^25+218x^26+160x^27+70x^28+44x^29+36x^30+12x^31+13x^32+3x^34+2x^36

The gray image is a code over GF(2) with n=96, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0797 seconds.