The generator matrix 1 0 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 0 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2a 1 2a^2+2a+2 1 1 1 1 1 1 1 1 2a^2+2a+2 1 1 1 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 0 a^2+3a a^2+3a+3 3a^2+2a+3 2 2 2a^2+3 2a^2+2a 2a^2+3 2a^2+2a+3 2a^2+2a+3 2a^2+2 1 2a^2+2a 2a+1 a a+2 a+2 3a 2a^2+3a+2 3a 2a^2+2 2a+1 2a^2+3a+2 3a^2+2 2a^2+3a+1 a^2+3a 3a^2+2a+3 1 a^2+3a+3 3a^2+2a+2 2a^2+3a+3 a^2+a a^2+3a+1 3a^2+3 1 3a^2+2a+2 a^2+a a^2+3a+1 2a^2+3a+3 3a^2+3 1 3a^2+2a 3a+1 a^2+a+2 3a^2+3a+3 a^2+3 1 a^2+2 1 3a^2+1 2a^2+a+3 3a^2+3a+3 a^2+a+2 2a^2+a+3 a^2+a+1 3a^2+2a a^2+3 1 3a^2+a a^2+2 3a+1 a^2+a+1 3a^2+1 3a^2+a 0 0 2a^2+2 2a 2 0 2a^2 2a+2 2a^2+2a+2 2a^2+2a 2a^2+2 2a^2+2a+2 2a 2 2a^2+2a 2a^2 0 2a+2 2 2a^2+2a 2a^2+2a+2 2a^2 2a+2 2a^2+2a+2 2a^2+2a 2 2a^2+2 2a 2a+2 0 2a 2a^2+2 2a^2+2a+2 2a^2 2a 0 2a^2 2a^2+2a 2 2a^2+2a 2a^2+2 2a^2+2a 2a+2 0 2a^2 2a 2a+2 2a+2 0 2a^2+2a+2 2a^2+2 2a 2 2a^2 2a^2+2a 2 2a^2+2a+2 2a+2 2 2a+2 2a^2 2a^2+2 2a^2+2 0 2a^2+2a+2 2 2a^2+2a+2 2 2a+2 2a 0 generates a code of length 71 over GR(64,4) who´s minimum homogenous weight is 488. Homogenous weight enumerator: w(x)=1x^0+1323x^488+12376x^489+903x^496+3920x^497+1841x^504+12376x^505+28x^512 The gray image is a code over GF(8) with n=568, k=5 and d=488. This code was found by Heurico 1.16 in 9.11 seconds.