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 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 2a^2+2a 1 1 1 2a^2+2a+2 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 2a+2 2a^2+3 a 3a^2+2 2a^2+a+3 a^2+3a+2 a^2+a+1 3a^2+2a+1 1 2a^2+1 a+2 3a^2 2a^2+2a a+1 3a^2+a+2 3a^2+a+3 a^2+1 3a+2 2a+1 a^2+2a 2a^2+2a+2 a+3 3a^2+3a 3a^2+a+1 a^2+2a+3 2a^2+3a 3 a^2+2 2a^2+2 3a+3 3a^2+3a+2 3a^2+3a+1 a^2+2a+1 1 3a 3a^2+2a+2 2a^2+3a+2 a^2 0 2a^2+3a+1 1 2 2a^2+2a+3 2a^2+3a+3 1 generates a code of length 81 over GR(64,4) who´s minimum homogenous weight is 561. Homogenous weight enumerator: w(x)=1x^0+616x^561+392x^566+1344x^567+35x^568+1568x^569+56x^574+56x^577+21x^584+7x^592 The gray image is a code over GF(8) with n=648, k=4 and d=561. This code was found by Heurico 1.16 in 5.84 seconds.