The generator matrix 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 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 1 1 1 1 1 1 1 1 1 1 1 0 2 0 2 2a 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2+2 0 2 2a 2a^2 2a^2+2a+2 2a^2 0 2a^2 2a^2+2 2 2a^2+2 2a 2a^2 2a^2+2a+2 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a 0 2 2a 0 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 2a^2 2a^2+2a+2 2 2a^2+2a 2a^2+2 0 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 0 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 0 2 2 2a 2a 2a+2 2a+2 2a^2+2 2a^2+2 0 2 2a 2a+2 2a^2+2 0 2 2a^2+2a 2a^2+2a 2a 2a^2+2a 2a+2 2a^2+2a 2a^2+2 2a^2+2a+2 0 0 2 2a^2+2 2a^2 2a^2+2a 2 2a^2 2a^2+2 2a^2+2a 2a 2a^2+2a 2a 2a 2a+2 2a+2 2a+2 2a^2+2 2a 2a+2 2 0 2a^2 2a^2+2a 2a^2+2 2a^2 2 0 2a^2 2a 2a^2+2 2a^2+2a 2 2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 0 2a^2+2a+2 2a 2a^2 2a^2+2a+2 2 0 2a^2+2a 2a^2+2 2a+2 2a^2+2 2a^2 2a^2+2a+2 2 2a+2 2a 0 0 2 2a 2a^2 2a+2 2a^2+2a 2a^2+2a+2 2a^2+2 0 2 2a^2+2 2a^2+2a+2 0 2a^2 2 2a^2+2a+2 2a^2+2 2a^2 2a 2a^2+2a 2a^2+2a 2a^2 0 2a^2+2 2 2a^2+2a+2 2a^2 2a^2+2 2a 2a^2+2a 0 2a 2 generates a code of length 89 over GR(64,4) who´s minimum homogenous weight is 616. Homogenous weight enumerator: w(x)=1x^0+266x^616+3584x^623+168x^624+7x^640+63x^648+7x^712 The gray image is a code over GF(8) with n=712, k=4 and d=616. This code was found by Heurico 1.16 in 0.121 seconds.