The generator matrix

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

generates a code of length 85 over GR(64,4) who´s minimum homogenous weight is 575.

Homogenous weight enumerator: w(x)=1x^0+3136x^575+2940x^576+336x^577+448x^578+1848x^579+2520x^580+1064x^581+5768x^582+16800x^583+10199x^584+2576x^585+1960x^586+7952x^587+6384x^588+1456x^589+8624x^590+23408x^591+11879x^592+4592x^593+4144x^594+10808x^595+7896x^596+2856x^597+9800x^598+24640x^599+16422x^600+6832x^601+4200x^602+11648x^603+8288x^604+1792x^605+8064x^606+21616x^607+9121x^608+63x^616+21x^624+28x^632+14x^640

The gray image is a code over GF(8) with n=680, k=6 and d=575.
This code was found by Heurico 1.16 in 18.8 seconds.