The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2 1 1 1 1 1 1 1 2 1 1 2a^2+2a+2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 2a+2 1 1 2a 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 2 1 2a^2+2a+2 1 1 1 1 1 1 1 1 1 1 1 1 1 2a 1 1 1 0 1 0 2a^2+2 2a 2a^2+2a 2 2a^2+2a+2 2a+2 1 2a^2+a+2 2a^2+3 2a^2+3a+2 a^2 3a^2+2 a^2+3a 3a^2+3a+1 a^2+a 3a^2+a+1 1 3 a 3a^2+2a 2a^2+a+3 a^2+3a+2 2a^2+3a+1 2a^2+a+1 1 a^2+2a+2 3a^2+2a+2 1 2a+1 2a^2+a+3 3a^2+a+2 3a^2+3a 3a^2+2a+3 2a^2+1 3a+1 3a 3a^2+3 3a^2+a+3 a^2+3a+3 a^2+3a+1 3 3a+2 2a^2+a 3a^2+1 2a^2+3a+1 1 a+3 3a^2+2a+1 a^2+a+2 a^2+1 3a 1 2a^2+a+2 a^2+a+3 1 2a^2+2a+1 a^2+3a+3 a+3 3a^2+1 3a^2+a+1 2a^2+1 3a^2+2a+3 3a^2+a 3a^2+3a 2a 1 3a+2 3a^2+3a+2 1 2a^2+2a+2 1 a^2+1 3a^2+2a+1 3a^2+3a+2 2a^2+3 3a+1 2a^2+3a+2 2a^2+a+1 2a+3 2a^2+3a a^2+3 a^2+2a+2 3a^2+2a+1 a^2+a+1 1 3a^2+3a+1 3a^2+a+2 a^2+3a+3 0 0 1 1 a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 a^2+2a+3 a^2+3a+1 2a^2+3 3a^2+3a+2 2a^2+a+1 2a a^2+2 3a+2 3a^2+3 a^2+2 3a^2+a+2 a+3 a+2 2a+2 3a^2 2a^2+a+2 a^2+1 a 3a^2+3a+1 2a^2+2a+2 3a^2+3a 2a^2+3a+3 3a^2+2 3a^2+2a+3 3a^2+a+1 3a^2+2a+2 2a^2+2 3a^2+a 3a^2+a+3 2a^2+1 2a^2+1 a^2+a+1 2a^2+3a+2 3a^2+2a a^2+a 2a^2+a 2a^2 3a+1 3a^2+1 1 3a^2+3a+1 2a^2+2a+3 3a 2a+3 2a^2+a+1 0 2a^2+3a+1 3a^2+a+1 3a+2 2 3a^2+3a+3 2a^2+a+3 3a^2+2 2a+1 a^2+a+2 2a a^2+2 3a 2a^2+3a+3 3a^2 2a^2+3a+1 2a^2+3a 2a^2+a+1 3a^2 2a^2+2a+3 3a^2+1 2a^2+3a a+1 2a a^2+2a 2a^2+2a+3 3a^2+2a+2 a^2+3a+1 2a^2+2a 3a^2+1 3a^2+2a+2 2a^2+2a+1 2a^2+3a+2 a^2+a+3 3a^2+3 a generates a code of length 91 over GR(64,4) who´s minimum homogenous weight is 617. Homogenous weight enumerator: w(x)=1x^0+3304x^617+3416x^618+56x^619+392x^620+392x^621+1792x^622+2408x^623+9975x^624+16072x^625+11928x^626+672x^627+3472x^628+1904x^629+4816x^630+5152x^631+14896x^632+22512x^633+16856x^634+1176x^635+4424x^636+2184x^637+5152x^638+4872x^639+15001x^640+22568x^641+15848x^642+1680x^643+6048x^644+2688x^645+6160x^646+5488x^647+14315x^648+21560x^649+12880x^650+35x^656+14x^664+28x^672+7x^680 The gray image is a code over GF(8) with n=728, k=6 and d=617. This code was found by Heurico 1.16 in 18.8 seconds.