The generator matrix

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

generates a code of length 12 over GR(64,4) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+413x^64+448x^72+784x^80+28672x^84+1568x^88+882x^96

The gray image is a code over GF(8) with n=96, k=5 and d=64.
This code was found by Heurico 1.16 in 0.0748 seconds.