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 0 1 1 1 2 1 1 1 1 1 2 2a+2 2a+2 2a^2 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 1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 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 3a^2+2 a^2+3a 3a^2+2a+3 2a^2+3a+1 a^2+3a+3 2 3a^2+2a+2 2a^2+3a+3 2a^2+3 a^2+3a+1 1 a+2 a^2+a 3a^2+3 1 2 2a a+2 2a^2+3a+3 3a 1 1 1 1 2a^2+a+1 2a^2+a+1 2a^2+a+3 2a^2+a+3 1 a^2+a 2a^2+2a+3 3a^2+3 3a^2+2a+2 a^2+3a+1 a^2+1 2a^2+2a+3 a^2+2a 3a^2+a 3a^2+3a+3 a^2+1 a^2+2a+2 3a^2+3a 3a^2+a+1 a^2+2a+2 3a^2+3a 3a^2+a+1 a^2+2a+1 2a 2a^2+3 a+2 2a^2+2a 2a^2+1 3a a^2+2a 3a^2+a 3a^2+3a+3 a^2+2a+1 2 1 3a+2 2a^2+2a 2a^2+1 3a+2 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+1 3a^2+2a+3 1 0 2a^2+2a+3 a^2+2a+2 2a^2+a+1 a^2+3a+3 1 a 3a^2+1 a^2+a 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+2 2a^2+2a 2 2a+2 0 2a^2+2 2a^2+2a+2 2a^2 2a 2a 2a^2+2a+2 2a+2 0 2a^2+2a 2a^2+2 2a^2+2a 2a+2 2a^2 2a^2+2a+2 2a^2 2a+2 2a 2a^2+2 2 2a^2+2a 2a^2 2 2a^2+2 2a^2+2a 2a^2 0 2a^2+2a+2 2a 2a^2+2 2a^2+2a+2 0 2a^2+2 2a 2a^2 2a^2+2a+2 2a+2 0 2a 2a^2+2a 2a+2 2 2 2 2a 0 2 2a+2 2a^2+2a 2a^2+2a+2 2a^2 2a^2+2a+2 2a 0 0 2a^2 2a 2a^2 2a^2+2a+2 2a 2 2a^2+2 2a^2+2 2a 0 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 generates a code of length 90 over GR(64,4) who´s minimum homogenous weight is 616. Homogenous weight enumerator: w(x)=1x^0+3087x^616+12782x^624+6132x^632+10689x^640+77x^648 The gray image is a code over GF(8) with n=720, k=5 and d=616. This code was found by Heurico 1.16 in 0.439 seconds.