The generator matrix

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

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 0.078 seconds.