The generator matrix

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

generates a code of length 17 over GR(64,4) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+140x^96+665x^104+756x^112+28672x^119+910x^120+1239x^128+385x^136

The gray image is a code over GF(8) with n=136, k=5 and d=96.
This code was found by Heurico 1.16 in 0.125 seconds.