The generator matrix

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

generates a code of length 72 over GR(64,4) who´s minimum homogenous weight is 472.

Homogenous weight enumerator: w(x)=1x^0+77x^472+616x^480+840x^488+588x^496+3584x^497+483x^504+25088x^505+441x^512+252x^520+217x^528+231x^536+224x^544+56x^552+49x^560+21x^568

The gray image is a code over GF(8) with n=576, k=5 and d=472.
This code was found by Heurico 1.16 in 0.788 seconds.