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 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+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 2 generates a code of length 88 over GR(64,4) who´s minimum homogenous weight is 608. Homogenous weight enumerator: w(x)=1x^0+224x^608+3773x^616+21x^624+7x^632+63x^640+7x^704 The gray image is a code over GF(8) with n=704, k=4 and d=608. This code was found by Heurico 1.16 in 0.117 seconds.