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

generates a code of length 53 over GR(64,4) who´s minimum homogenous weight is 328.

Homogenous weight enumerator: w(x)=1x^0+399x^328+1701x^336+2387x^344+3325x^352+3584x^357+3927x^360+50176x^365+4585x^368+175616x^373+4865x^376+4907x^384+3661x^392+2044x^400+770x^408+189x^416+7x^424

The gray image is a code over GF(8) with n=424, k=6 and d=328.
This code was found by Heurico 1.16 in 33.1 seconds.