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 2 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 2 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a+2 2a^2+2 0 2a 2a^2+2a+2 2a 2a^2+2a+2 0 2a^2+2a 2a 2a 2a^2 2a 2 2a^2+2a 2a^2 2 2a+2 2a^2+2 2a^2+2a 0 0 2a^2 2a^2+2a 2a^2 2a^2+2 2a^2 2a+2 2a^2 2a^2+2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2a 2a 2a^2+2a 2 2a^2+2a 2 2a^2+2a+2 2a 2a+2 2 2 0 2a^2 2a^2 2a^2 2a^2+2a+2 2a 0 2 2a 2a^2+2a 2a+2 2a^2+2 0 2a^2+2a 2a 2a^2+2 2 2a^2+2a 2a^2+2a+2 2 2 0 2a^2+2a+2 2a^2+2 2a^2 2 2a^2+2 2a^2+2a 2a^2+2a+2 0 2a^2 2a^2+2a 0 0 0 2 0 2a^2+2 2a^2+2a+2 2a 2a^2+2 2a^2+2 2a 2a^2+2 2a^2 2a 2a+2 2 2a^2+2a+2 2 2 2a^2+2a 2a+2 2 2a 2a^2+2a 0 2a^2 0 0 2a^2 2a^2 2a^2+2 2 2a^2+2a+2 2a^2+2a 2a^2+2 2a^2 2 0 2a^2+2 2a^2 2a^2+2a+2 2 2a^2 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a 2a 2a^2+2a+2 0 2a^2+2 2a^2 2 2a+2 0 2a+2 2a 2a^2+2a 2a^2+2a+2 2a^2+2 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2 2a^2+2a 0 2a+2 2a^2+2a 2 2a^2+2a 2 2 2a 2a^2+2 2a^2+2 2a^2+2a 2a+2 0 0 0 2a^2+2 2a 2a^2+2a 2a^2 2a^2+2a 2a 0 2a 2 0 0 0 2 2 2a^2+2a 2a^2+2a 2 2a^2+2 2a^2+2a 2a^2+2 2a^2+2 2a+2 2a 2a^2+2a 2a 2a+2 2a^2+2a+2 2a^2+2 2a^2 2a^2+2a 2 0 2a^2+2a+2 0 2a^2+2a+2 2a 2a^2+2 2a+2 0 2a+2 2a^2+2 2a+2 2a^2+2a 2a 2a^2 0 2a^2+2a 2a^2 2 2a^2 2a+2 0 2a^2+2a+2 2a+2 2a^2+2a+2 2a^2 2a^2+2a+2 2a+2 2a^2+2a 2a^2+2 0 2a^2 2a^2 2a 2 2a+2 2a 2a^2+2a 2a 0 2a+2 0 2a^2+2a 2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 2a^2+2a+2 2a^2+2a+2 2a+2 2a^2+2a+2 0 2a^2 2a^2 2a+2 2a 2a^2 2a^2+2a+2 2a 2a^2 2a^2+2a+2 0 2a 2a^2 2a^2 2a^2+2a 2a+2 2a^2+2a+2 generates a code of length 89 over GR(64,4) who´s minimum homogenous weight is 592. Homogenous weight enumerator: w(x)=1x^0+189x^592+707x^600+784x^608+4137x^616+25501x^624+469x^632+252x^640+203x^648+168x^656+126x^664+70x^672+84x^680+28x^688+42x^696+7x^704 The gray image is a code over GF(8) with n=712, k=5 and d=592. This code was found by Heurico 1.16 in 1.05 seconds.