The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+254x^16+1x^32

The gray image is a code over GF(2) with n=128, k=8 and d=64.
This code was found by Heurico 1.16 in 6.87e-008 seconds.