The generator matrix

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

generates a code of length 10 over GR(64,4) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+217x^48+420x^56+721x^64+28672x^70+1540x^72+1197x^80

The gray image is a code over GF(8) with n=80, k=5 and d=48.
This code was found by Heurico 1.16 in 0.0471 seconds.