The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^96+1792x^98+3360x^99+1960x^100+140x^104+1792x^105+19712x^106+20160x^107+8624x^108+57526x^112+12544x^113+71680x^114+48160x^115+14504x^116+28x^120+112x^128

The gray image is a code over GF(8) with n=128, k=6 and d=96.
This code was found by Heurico 1.16 in 2.32 seconds.