The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 2 1 1 0 2 0 0 2 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a+2 2a^2+2 0 2a 2a^2+2a+2 2a 2a^2+2a+2 0 2a^2+2a 2a 2a 2a^2 2a 2 2a^2+2a 2a^2 2 2a+2 2a^2+2 2a^2+2a 0 0 2a^2+2a 2a^2 2a^2 2a^2+2 2a^2 2a+2 2a^2 2a^2+2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2a 2a 2a^2+2a 2 2a^2+2a 2 2a^2+2a+2 2a 2 2a+2 2 0 2a^2 2a^2 2a 2a^2+2a+2 2a 2a^2+2a 2a+2 2a^2+2a 2a^2 2a^2+2 2a^2+2 2a^2+2a+2 2 2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a 0 0 2 2 0 2a^2+2a 0 2 0 0 2a^2 2a+2 0 0 2 0 2a^2+2 2a^2+2a+2 2a 2a^2+2 2a^2+2 2a 2a^2+2 2a^2 2a 2a+2 2 2a^2+2a+2 2 2 2a^2+2a 2a+2 2 2a 2a^2+2a 0 2a^2 0 0 2a^2 2a^2 2a^2+2 2 2a^2+2a+2 2a^2+2a 2a^2+2 2 2a^2 0 2a^2+2 2a^2 2a^2+2a+2 2 2a^2 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a 2a 2a^2+2a+2 0 2a^2+2 2a^2 2 0 2a+2 2a+2 2a 2a^2+2a 2a^2+2a 2a^2+2a+2 2a^2+2a 2a^2+2a 0 2a+2 2a+2 2a^2+2 2a^2+2a 2a^2+2 0 2a^2+2a 2a 2a^2 2 2a^2 2a+2 2a 2a^2+2 2a^2 0 2a^2 2a 2a^2+2 2a 2 2a^2+2 0 0 0 0 2 2 2a^2+2a 2a^2+2a 2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2 2a+2 2a 2a^2+2a 2a 2a+2 2a^2+2a+2 2a^2+2 2a^2 2a^2+2a 2 0 2a^2+2a+2 0 2a^2+2a+2 2a 2a^2+2 2a+2 0 2a+2 2a^2+2 2a+2 2a^2+2a 2a^2 2a 0 2a^2+2a 2a^2 2 2a^2 2a+2 0 2a^2+2a+2 2a+2 2a^2+2a+2 2a^2 2a^2+2a+2 2a+2 2a^2+2a 2a^2+2 0 2a^2 2a 2a^2 2 2a+2 2a 2a^2+2 2a+2 2a^2+2a 2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a 2a^2+2a 2 2a^2+2a 2a+2 0 2 2a 2a^2+2a+2 0 2a 2a^2 2 2a^2+2a 2a^2 2a^2 2a^2+2a+2 0 2a+2 2a^2+2a 2a^2+2 generates a code of length 86 over GR(64,4) who´s minimum homogenous weight is 576. Homogenous weight enumerator: w(x)=1x^0+595x^576+707x^584+448x^588+679x^592+6272x^596+595x^600+21952x^604+441x^608+294x^616+196x^624+175x^632+161x^640+84x^648+70x^656+42x^664+42x^672+7x^680+7x^688 The gray image is a code over GF(8) with n=688, k=5 and d=576. This code was found by Heurico 1.16 in 1.33 seconds.