The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+595x^64+1792x^70+1680x^72+28x^80

The gray image is a code over GF(8) with n=80, k=4 and d=64.
This code was found by Heurico 1.16 in 0.000591 seconds.