The generator matrix

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

generates a code of length 66 over GR(64,4) who´s minimum homogenous weight is 453.

Homogenous weight enumerator: w(x)=1x^0+7056x^453+4704x^454+147x^456+4704x^461+1344x^462+315x^464+9744x^469+4704x^470+42x^472+7x^504

The gray image is a code over GF(8) with n=528, k=5 and d=453.
This code was found by Heurico 1.16 in 0.257 seconds.