The generator matrix

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

generates a code of length 16 over GR(64,4) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+462x^80+1624x^88+2786x^96+4928x^104+239610x^112+8232x^120+4501x^128

The gray image is a code over GF(8) with n=128, k=6 and d=80.
This code was found by Heurico 1.16 in 6.05 seconds.