The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 2a^2 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 2a+2 1 1 1 1 1 1 1 1 1 1 1 2a^2+2a 0 1 2a^2+3 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 2 2a^2+2a+3 a+2 3a^2+2a+2 2a^2+3a+3 a^2+a a^2+3a+1 3a^2+3 1 2a 2a^2+2a+1 3a 3a^2+2a 2a^2+a+1 a^2+a+2 a^2+a+3 3a^2+1 1 2a^2 2a+3 2a^2+a a^2+2a+2 3a+1 3a^2+a 3a^2+3a+3 a^2+3 1 0 2a^2+3 3a+2 2 3a^2 2a^2+a+3 a^2+3a+2 a^2+a+1 3a^2+2a+1 2a^2+1 2a^2+3a a^2+2a a+1 2a+2 3a^2+a+2 3a^2+a+3 a^2+1 2a+1 2a^2+3a+2 a^2+2 a+3 3a^2+3a 2a^2+2a 3a^2+a+1 a^2+2a+3 3 2a^2+a+2 a^2 3a+3 3a^2+3a+2 2a^2+2a+2 3a^2+3a+1 a^2+2a+1 1 2a^2+2 a 1 2a^2+2a+3 3a^2+2 2a^2+3a+1 a+2 3a^2+2a+2 2a^2+3a+3 2a 2a^2+2a+1 3a 3a^2+2a 2a^2+a+1 1 generates a code of length 85 over GR(64,4) who´s minimum homogenous weight is 590. Homogenous weight enumerator: w(x)=1x^0+840x^590+35x^592+336x^593+1344x^595+1400x^598+112x^601+21x^616+7x^632 The gray image is a code over GF(8) with n=680, k=4 and d=590. This code was found by Heurico 1.16 in 9.05 seconds.