The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2X+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 3.81e-009 seconds.