The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2a 1 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 2a+2 1 2 1 1 1 1 2a 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3 0 2a^2+3 a 2 a+2 2a^2+3a+1 2a^2+3a+3 1 3a^2+2 a^2+3a 3a^2+2a+2 a^2+3a+3 3a^2+2a+3 a^2+a 2a^2+3 a^2+3a+1 3a^2+3 1 2 2a 2a^2+2a+3 a+2 2a^2+3a+3 3a^2+3 2a^2+2a+3 2a+1 a^2+a 3a^2+2a+2 2a^2+a+3 a^2+3a+1 1 3a+3 3a^2+2a 1 3a+2 a^2+a+2 a^2+a+1 a^2+1 a^2+a+2 3a 3a^2+2a a^2+a+3 a^2+1 1 1 2a 3a 3a^2 2a^2+a+3 a^2+3a+2 a^2+a+3 a^2+2a+1 1 2a^2+2a 2a^2+2a 2a+1 3a+2 3a^2 3a+3 a^2+3a+2 a^2+a+1 a^2+2a+1 1 2 2a+2 2a^2+3 2a^2+a+1 a^2+3a+3 a^2+3 1 a+2 3a^2+2 0 0 0 2a^2+2 2a 2 0 2a+2 2a^2+2a+2 2a^2+2a 2a^2 2a 2a^2+2a 2a^2+2 2a^2 2 2a+2 2a^2+2a+2 2a^2+2a+2 0 2a^2+2a 2 2a^2+2a+2 2a 2a^2 2a^2+2 2a+2 2a+2 2a^2+2a+2 2a+2 2 0 2a^2 2a 2a^2+2a+2 2a^2+2a 2 0 2a^2+2a 2a+2 2a^2 2a^2+2 2a 2a 2a^2+2 2a^2+2a 2a^2 0 2a^2+2 2a^2+2a+2 2a^2 0 2 2a^2+2 2a+2 2a 2a+2 2a^2+2 2a 2a^2+2a+2 2a^2+2a 2a^2 2 2 2a^2+2a+2 0 2 2a+2 2a^2+2a+2 2a^2 2a 2a^2+2 2a^2+2a 2a^2+2a 2a+2 0 0 2a+2 2a^2+2a 2a+2 2a^2+2a 2a+2 2a+2 generates a code of length 82 over GR(64,4) who´s minimum homogenous weight is 560. Homogenous weight enumerator: w(x)=1x^0+2429x^560+560x^561+2016x^567+10213x^568+1288x^569+4214x^576+672x^577+1568x^583+8743x^584+1064x^585 The gray image is a code over GF(8) with n=656, k=5 and d=560. This code was found by Heurico 1.16 in 0.376 seconds.