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 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 0 2a^2+3 3a+2 3a^2 2a^2+a+3 a^2+3a+2 a^2+a+1 3a^2+2a+1 1 2a+2 2a^2+1 2a^2+3a a^2+2a a+1 3a^2+a+2 3a^2+a+3 a^2+1 2a^2+2a 2a+1 2a^2+3a+2 a^2+2 a+3 3a^2+3a 3a^2+a+1 a^2+2a+3 2a^2+2a+2 3 2a^2+a+2 a^2 3a+3 3a^2+3a+2 3a^2+3a+1 a^2+2a+1 2a^2+2 2a^2+2a+3 1 a 3a^2+2 1 2 a+2 3a^2+2a+2 1 generates a code of length 79 over GR(64,4) who´s minimum homogenous weight is 547. Homogenous weight enumerator: w(x)=1x^0+448x^547+420x^552+1792x^553+1344x^555+56x^560+28x^568+7x^576 The gray image is a code over GF(8) with n=632, k=4 and d=547. This code was found by Heurico 1.16 in 1.41 seconds.