The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  2 2a 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2+2  0  2 2a 2a^2 2a^2+2a+2  0
 0  0  2 2a^2+2 2a^2 2a^2+2a  2 2a^2 2a^2+2 2a^2+2a 2a 2a^2+2a 2a 2a 2a+2  0

generates a code of length 16 over GR(64,4) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+35x^96+182x^104+3724x^112+42x^120+112x^128

The gray image is a code over GF(8) with n=128, k=4 and d=96.
This code was found by Heurico 1.16 in 0.00263 seconds.