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 2 1 1 1 2a 1 1 1 1 1 0 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 2a^2+2a+2 1 1 1 1 1 1 1 1 1 1 2a^2 1 1 1 1 1 1 1 1 1 2a 1 0 1 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+2 2a^2+3a+1 3a^2+a+1 3a^2+3 2a^2+3a+2 3a^2+3a a^2+1 1 2a^2+2a 2a+3 3a+1 1 2a^2+3a 3a^2+2a+3 3a^2+2a a^2+3a+2 2a^2+a 1 a^2+2a+2 a^2+a+3 a^2+3a+2 2a^2 3a^2+3a+3 a+1 1 3a^2+2 a^2+2a+3 3a^2+2a+2 2a^2+a+1 3a^2+a+3 1 2a^2+2 a^2+2a+1 a^2+2 3a^2+a+2 3a^2+1 2a+3 2a^2+3 1 2a 3a^2+1 1 2a^2+1 3a^2+2a+1 2a^2+1 a^2+2a a^2+3a 3a^2+a 2a^2+3a+1 2a 3a+2 1 2a^2+2a 1 2a^2+a+1 a+1 a^2+a+2 2a^2+2a+1 a^2+1 1 a^2+3a 2a^2 3a^2+3a+2 a^2+1 3a^2 2a^2+a+3 2a^2+1 2a^2+2a+1 a^2+2a+3 2a^2+a+1 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 a^2+3a+2 3a 3a^2+2a a^2+3a+1 3a^2+a 3a^2+3 3a+3 2a^2+3a a^2+a+2 2a^2+3 3a^2+2 a^2+a+3 2a^2+3a+3 2 3a^2+3a+1 2a^2+a+3 a^2 a+3 a^2+1 3a^2+3a+3 a^2+2a+2 a^2+3 3a+2 3a^2+a+1 a^2+3a 2a+1 a^2+2a+1 2a^2+3a+2 2a+2 2 2a^2+3 3a^2+a+3 2a^2+2a+1 3a+1 2a^2+3a+2 a^2+a+2 2a^2+2a+2 a^2+3a+2 2a^2+2a+3 a+3 a^2+3a+1 2a^2+3a+2 2a^2+3a+1 3a^2 3a+2 3a+1 3 a^2+2a 3a^2+2a 3a 3a^2+3 a^2+1 3a^2+2a+3 2a+2 3a^2+2a+3 2a^2+2a+1 2a^2+2a 3a^2+3a+2 2a^2+2a+2 3a 2a^2+3a+3 0 a^2+a a^2+a 3a^2+3a+2 3a^2+2a 2a+3 a^2+2a a^2+3 2a^2+2a+2 generates a code of length 90 over GR(64,4) who´s minimum homogenous weight is 610. Homogenous weight enumerator: w(x)=1x^0+2800x^610+3864x^611+504x^613+952x^614+1736x^615+4732x^616+3024x^617+16800x^618+16296x^619+3192x^621+2184x^622+4872x^623+10808x^624+5488x^625+21224x^626+20832x^627+4648x^629+3528x^630+5208x^631+9779x^632+4592x^633+24976x^634+22120x^635+5992x^637+4088x^638+6104x^639+10934x^640+4816x^641+20216x^642+15736x^643+35x^648+21x^656+28x^664+14x^680 The gray image is a code over GF(8) with n=720, k=6 and d=610. This code was found by Heurico 1.16 in 18.5 seconds.