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

generates a code of length 66 over GR(64,4) who´s minimum homogenous weight is 432.

Homogenous weight enumerator: w(x)=1x^0+140x^432+707x^440+777x^448+1344x^449+567x^456+8064x^457+532x^464+19264x^465+392x^472+280x^480+245x^488+224x^496+147x^504+70x^512+14x^520

The gray image is a code over GF(8) with n=528, k=5 and d=432.
This code was found by Heurico 1.16 in 0.71 seconds.