The generator matrix

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

generates a code of length 88 over GR(64,4) who´s minimum homogenous weight is 584.

Homogenous weight enumerator: w(x)=1x^0+77x^584+112x^588+56x^591+1141x^592+392x^593+672x^594+2408x^595+3192x^596+1680x^599+4956x^600+2744x^601+3472x^602+7392x^603+8848x^604+4032x^607+10682x^608+5544x^609+5712x^610+12656x^611+12320x^612+11760x^615+23464x^616+11368x^617+11312x^618+21728x^619+21504x^620+11144x^623+20055x^624+8624x^625+7504x^626+13160x^627+11368x^628+266x^632+252x^640+147x^648+140x^656+126x^664+84x^672+28x^680+14x^688+7x^704

The gray image is a code over GF(8) with n=704, k=6 and d=584.
This code was found by Heurico 1.16 in 22.8 seconds.