The generator matrix

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

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+40x^12+8x^13+108x^14+56x^15+91x^16+56x^17+96x^18+8x^19+44x^20+4x^22

The gray image is a code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in 0.00416 seconds.