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

generates a code of length 93 over GR(64,4) who´s minimum homogenous weight is 622.

Homogenous weight enumerator: w(x)=1x^0+56x^622+56x^623+539x^624+56x^626+2184x^629+4760x^630+1792x^631+721x^632+1680x^634+9800x^637+15008x^638+3584x^639+700x^640+4032x^642+17976x^645+24416x^646+7504x^647+546x^648+11760x^650+33432x^653+44520x^654+9800x^655+406x^656+11144x^658+22624x^661+25928x^662+5936x^663+329x^664+231x^672+210x^680+147x^688+70x^696+77x^704+56x^712+28x^720+14x^728+7x^736+14x^744

The gray image is a code over GF(8) with n=744, k=6 and d=622.
This code was found by Heurico 1.16 in 39.2 seconds.