The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  2  1  1  1 2a  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
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  a 3a^2+2 a^2+3a  1  0 2a^2+3a+1 3a^2+2a+3 2a^2+3 a^2+3a+3 3a^2+2 3a^2+2a+3 2a^2+3a+1  1 a^2+3a a^2+3a+3 2a^2+3  0  a 2a^2+3a+3  1 a^2+3a+1 3a^2+3 a^2+a  1 2a^2+3 3a^2+2a+2  2 2a^2+a+1 a+2 3a^2+3 a^2+a a+2 a^2+3a+1 2a 2a^2+2a+1 3a^2+2a+2 a^2+3a+1 2a+1 3a a^2+a 2a^2+3a+3 3a^2+3a+2 2a^2 3a^2+a+1 2a+3 3a^2+3a+1 2a^2+2a+3 a^2+a+1 a^2+3a a^2+a+3 2a^2+1 3a^2+a a^2+a+3 2a 3a^2+2a  2  0
 0  0 2a^2+2  0  2  2 2a+2  2 2a^2 2a+2 2a^2+2 2a^2  2 2a^2+2a 2a^2+2a+2  0 2a^2+2a  2 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2a  2  0 2a^2+2a+2 2a^2+2 2a^2+2a 2a^2+2a 2a^2 2a^2+2  0 2a^2+2a+2 2a 2a^2+2 2a 2a  0 2a^2+2a 2a+2  2 2a^2+2 2a^2+2a 2a^2 2a^2+2a+2  2 2a^2+2a+2 2a^2+2a 2a^2+2  2  0 2a+2 2a 2a+2 2a+2  0 2a+2 2a+2 2a^2+2  0 2a^2+2 2a^2+2  2 2a+2 2a^2+2a+2 2a+2  0
 0  0  0  2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2 2a^2+2a+2 2a+2 2a+2 2a^2 2a^2+2a+2 2a 2a^2 2a^2 2a^2+2a 2a  2 2a^2+2  2 2a+2 2a+2 2a 2a^2 2a^2 2a 2a^2+2a+2  0 2a  2 2a 2a+2 2a^2+2a+2  0 2a^2+2 2a^2+2a+2  0  0 2a 2a  0  2 2a^2+2  0  2 2a^2+2  0 2a^2+2a 2a+2 2a  2 2a^2+2a+2  2 2a^2+2a 2a^2+2 2a^2+2a+2  0 2a^2  2  0 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+105x^432+1288x^439+819x^440+1288x^441+1064x^443+3360x^444+8008x^447+665x^448+3472x^449+5768x^451+10080x^452+16632x^455+637x^456+6496x^457+21112x^459+34272x^460+34328x^463+483x^464+10864x^465+29400x^467+38304x^468+25760x^471+329x^472+6552x^473+343x^480+329x^488+168x^496+112x^504+91x^512+14x^520

The gray image is a code over GF(8) with n=528, k=6 and d=432.
This code was found by Heurico 1.16 in 15.7 seconds.