The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  X  2  0  X  1  1  2  0  1  1
 0  X  0  0  0  0  0  2  2  X X+2 X+2 X+2  2 X+2  X  X  2  0 X+2  X  2  2  0
 0  0  X  0  0  2 X+2  X  X  X  X X+2  0  2  X X+2  0 X+2 X+2  0  2  X  2  0
 0  0  0  X  0 X+2 X+2  X  2 X+2 X+2 X+2  X  X  2  2  2  X X+2  X X+2  X  0  0
 0  0  0  0  X  X  2 X+2  X X+2  2  0  X  0  X  0  2  2 X+2  0  0  X  X  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+44x^18+72x^19+81x^20+228x^21+88x^22+476x^23+95x^24+488x^25+82x^26+192x^27+71x^28+52x^29+36x^30+28x^31+8x^32+6x^34

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 0.0788 seconds.