The generator matrix

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

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+4452x^56+21504x^63+6993x^64+28672x^70+150528x^71+48580x^72+1197x^80

The gray image is a code over GF(8) with n=80, k=6 and d=48.
This code was found by Heurico 1.16 in 1.12 seconds.