The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+90x^12+96x^13+264x^14+416x^15+331x^16+416x^17+240x^18+96x^19+86x^20+8x^22+4x^24

The gray image is a code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0382 seconds.