The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  0 2a^2+3  a 3a^2+2 a^2+3a  2  2
 0  0 2a^2+2 2a  2  0 2a+2 2a^2+2a+2 2a^2+2a 2a^2 2a 2a^2+2a 2a+2  2 2a^2+2 2a^2+2a+2

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

Homogenous weight enumerator: w(x)=1x^0+7x^96+224x^98+336x^100+238x^104+1792x^105+3136x^106+1120x^108+84x^112+12544x^113+10976x^114+2128x^116+98x^120+84x^128

The gray image is a code over GF(8) with n=128, k=5 and d=96.
This code was found by Heurico 1.16 in 0.0476 seconds.