The generator matrix

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

generates a code of length 8 over GR(64,4) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+490x^32+1568x^40+6664x^48+242144x^56+11277x^64

The gray image is a code over GF(8) with n=64, k=6 and d=32.
This code was found by Heurico 1.16 in 1.05 seconds.