The generator matrix

 1  1  1  1  X  1  1  0  X  1  1  X  X  X  1  1
 0  X  0 X+2  X  0 X+2  X  X  0 X+2 X+2  0  0  0  0
 0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  0  0  0
 0  0  0  0  2  0  0  0  0  2  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  2  2  0  0
 0  0  0  0  0  0  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0
 0  0  0  0  0  0  0  0  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 8.

Homogenous weight enumerator: w(x)=1x^0+63x^8+56x^10+294x^12+128x^13+328x^14+896x^15+559x^16+896x^17+328x^18+128x^19+308x^20+56x^22+49x^24+6x^28

The gray image is a code over GF(2) with n=64, k=12 and d=16.
This code was found by Heurico 1.16 in 0.0426 seconds.