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 2a 1 1 1 1 1 2 1 1 1 1 1 1 1 2a^2+2a 1 1 1 1 1 1 2a+2 1 2 1 1 1 2a^2+2 1 1 1 1 1 1 1 1 1 1 1 2a^2 1 1 1 1 1 1 2a+2 1 2a^2 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 1 3a^2+a a^2+a+3 a^2+3a a^2+2a+3 3a+3 1 3a^2+2a+2 3a^2+a+1 a^2+a+1 2a^2+2a+1 2a^2+a+1 2a^2+a a^2+3 1 3a 3a^2+1 a+2 a^2+2 2a^2+1 3a+1 1 3a^2+2a+2 1 3a^2+2a 2a^2+2a+2 a^2+2a+1 1 2 2a^2+a a^2+3a+1 3 2a^2+3a+3 2a^2+3 2a^2+a+3 a a^2 3a^2+2 3a^2+a+3 2 2a^2+2a 3a^2+3a+1 3a 3a+3 a^2+3a+1 a 1 3a^2+a 1 3a^2+3a 2a^2+3a+1 a^2+a 2a^2+2a+2 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+3 a^2+a+2 3a^2+a 2a^2+2a+2 3a a^2+a+2 a^2+3a+1 2a^2+1 2a^2+3a 2a^2 a^2+2 3a+3 3a^2+2a+3 2a^2 a^2+a+2 a 1 a^2+a 2a^2+2a 3a^2+2a+3 2a^2+1 3a^2+2a a^2 a^2+1 a^2+3a+2 2a^2+3a 3a^2+a+1 2a^2+3a+2 3a^2+1 a^2+3a+1 3a^2+2a+2 2a^2+a a^2+a 3a^2+2 3a^2+2a 2a^2+a a^2+2a 2a^2+2a+2 a^2+2a+3 1 2a^2+2a 3a+2 a^2+3 a^2+2a+1 3a+1 3a^2+3a+2 2a^2+3a+1 3a^2+2a+1 a^2+1 a^2+a+2 3a^2+3a+3 3a^2+3a+1 a^2+a generates a code of length 87 over GR(64,4) who´s minimum homogenous weight is 589. Homogenous weight enumerator: w(x)=1x^0+2464x^589+4536x^590+392x^591+483x^592+504x^593+2016x^594+3416x^595+4312x^596+14784x^597+15792x^598+2408x^599+2380x^600+1512x^601+4144x^602+6944x^603+7392x^604+20944x^605+19768x^606+4760x^607+3969x^608+2632x^609+5824x^610+7224x^611+6776x^612+27552x^613+23072x^614+6776x^615+4305x^616+2520x^617+5936x^618+7504x^619+6608x^620+16688x^621+15680x^622+35x^624+14x^632+21x^640+28x^648+7x^656+21x^664 The gray image is a code over GF(8) with n=696, k=6 and d=589. This code was found by Heurico 1.16 in 18 seconds.