The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2a+2  1 2a^2+2 2a  1  1  1 2a 2a^2+2a+2  1 2a^2  1  1  1  1  1  1  1  1  1  1 2a+2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0 2a^2+2 2a 2a^2+2a  2 2a^2+2a+2 2a+2 2a^2  1 2a^2+a+2 a^2 2a^2+3  3 2a^2+2a+3 2a+3 2a^2+2a+1 2a^2+1 2a+1 a+2 a^2+2a+2 2a^2+3a+2 3a^2+2  1  a  1  1 2a^2+3a a^2+2 3a^2  1  1 2a^2+a  1 a^2+2a 3a+2 3a 3a^2+2a+2 a^2+2a+3 a^2+2a+1 a^2+1 3a^2+2a+3 a^2+3 3a^2+2a+1  1 3a^2+2a+3 a^2+3 a^2 a^2+a+2 a^2+3a 3a^2+3a 3a^2+a a^2+a 3a^2+a+2 a^2+a+2 a^2+a 3a+3 a^2+a+1 a^2+3a+1 3a^2+3a+3 3a^2+3a+1 a^2+a+3 3a^2+a+1 a^2+3a+3  0
 0  0  1  1  a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 a^2+2a+3 3a^2+2a+1 a^2+1 a^2+3a+1 a^2+a a+1 a^2+2a a+2 2a^2+3 2a^2+2a+2 2a^2 2a^2+2 2a^2+2a+3 3a^2+3a+1 a^2+1 2a^2+3a 2a+1 2a^2+a+3 3a^2+a+3 3a+1 2a^2+a+2 3a^2+a+3 3a 3a^2+a 3a^2+3a+2 a^2+3a+2 a+3 3a^2+2a 2a^2+3 2a+1 3a^2+2a+2 3a^2+3a+2 2a a^2+a+1 2a^2+a+1 a^2 3a+2 a^2+3 3a^2 2a^2+a  2 3a^2+a+2 a^2+a+1 2a+3 3a^2+2 3a+3 3a^2+2a+1 2a+2 3a 2a^2+2a  1 3a^2+a+3 3a^2+2a a^2+2a+1 3a^2+a+2 2a^2+2a+2

generates a code of length 66 over GR(64,4) who´s minimum homogenous weight is 445.

Homogenous weight enumerator: w(x)=1x^0+560x^445+10528x^446+5096x^447+742x^448+5376x^453+40488x^454+20664x^455+4270x^456+6384x^461+52304x^462+15960x^463+3290x^464+9184x^469+61544x^470+22792x^471+2954x^472+7x^512

The gray image is a code over GF(8) with n=528, k=6 and d=445.
This code was found by Heurico 1.16 in 13 seconds.