The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 1 1 2 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 2a^2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a 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 3a^2+2 a^2+3a 3a^2+2a+3 2a^2+3a+1 a^2+3a+3 1 2 3a^2+3 a+2 a^2+3a+1 1 2a^2+3 3a^2+2a+2 2a^2+3a+3 a^2+a 2 2a^2+2a+3 1 a+2 2a^2+3a+3 1 3a^2+2a+2 a^2+a a^2+3a+1 2a^2+2a+3 3a^2+3 3a^2 2a^2+a+1 a^2+a+2 1 2a^2 2a^2+a a^2+a+3 3a^2+1 a^2+2a a^2+a+2 2a+3 2a^2+a+3 a^2+3 a^2+2a 0 a+2 a^2+3a+3 2a+3 2a^2+a+3 3a^2+a a^2+3 1 2a^2 a 2a^2+2a a^2+a+3 3a^2+3a+1 3a 3a 3a^2+3a+1 2a^2+2a 2a^2+a 1 2 a^2+3a+1 2a a^2+a+3 3a 3a^2 2a^2+a+1 3a^2+a 1 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 2a^2+2 2a 2a^2+2a+2 0 2a^2+2 2a+2 2a^2+2a 2 2a^2 2a^2+2a+2 2a^2 2a^2+2a 2a^2+2 2a^2+2a 2a+2 2a^2+2a+2 2a 2a^2+2 2 2a^2+2a+2 0 2a+2 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2 2 2a+2 2a 0 2a^2+2a 2a^2+2 0 2a^2 2a 2 2a+2 0 2a 2a^2+2a+2 2a^2 2 2 2a+2 0 2a^2+2a 2a^2 2 2a 2a 2a+2 0 2a^2+2a+2 2 2 2a^2+2a+2 2a+2 2a^2 2a^2+2 2a^2 2a^2+2a 2a^2 generates a code of length 80 over GR(64,4) who´s minimum homogenous weight is 547. Homogenous weight enumerator: w(x)=1x^0+1568x^547+1176x^551+8015x^552+4032x^555+784x^559+2408x^560+2016x^563+1624x^567+7938x^568+3136x^571+63x^576+7x^584 The gray image is a code over GF(8) with n=640, k=5 and d=547. This code was found by Heurico 1.16 in 50.3 seconds.