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

generates a code of length 74 over GR(64,4) who´s minimum homogenous weight is 501.

Homogenous weight enumerator: w(x)=1x^0+112x^501+3696x^502+11816x^503+7763x^504+3248x^505+840x^509+13944x^510+32648x^511+20615x^512+5096x^513+1120x^517+18368x^518+36344x^519+12222x^520+4704x^521+1512x^525+21336x^526+41048x^527+20832x^528+4872x^529+7x^536

The gray image is a code over GF(8) with n=592, k=6 and d=501.
This code was found by Heurico 1.16 in 36.8 seconds.