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 2 1 1 1 1 1 1 0 2 0 0 0 2 2 2 2a 0 2 2a 2a 2a 2a 2 2a 2a^2+2a+2 0 2 0 2a^2+2a 2a^2 2a+2 2a^2+2a+2 2a+2 2a^2 2a+2 2a^2+2a+2 2a 2a^2+2a+2 2a 2a^2+2a 2a^2+2 2a^2+2a+2 2a^2+2a+2 2 2 2a^2+2 0 2a^2+2a 2a 2a^2+2 2a^2 0 2a 2a^2 2a^2+2a+2 2 0 2a 2a^2+2 2a^2+2 0 2a+2 2a^2+2 2a^2 2a^2+2a+2 0 2a^2+2a+2 2a^2+2a+2 2a^2 2a+2 2 2 2 2 2 2a^2+2 2a^2+2 2a^2+2a 2a+2 0 0 0 2 0 0 2a^2+2 2a^2+2a+2 2a^2+2a 2a^2+2a 2 2a+2 2a^2+2 0 2 2a^2+2a+2 2a^2 2a 2a^2+2 2a 0 2a^2 2a 2a^2+2a+2 2a^2+2a 2a+2 2a^2 2 2a^2+2a+2 2 2a^2+2a+2 2a 2 2a+2 2a 2a^2 2a^2 0 2a^2 2a^2 2a^2 2a^2 2a^2+2a 2a^2 2a^2+2 2 2a^2 0 2a+2 0 2 2a^2 2a^2+2a 2a+2 2 2 2a^2+2 2a 2a 2a^2 2a 2a 2a^2+2 2a^2+2 0 2 2a^2+2a+2 2a^2 2 2a^2+2a+2 2a+2 2a+2 2a+2 0 0 0 0 2 0 2 2a^2+2a+2 2a 2a+2 2a^2 2a^2+2 0 2a^2+2a+2 2 2a 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a 2a 2 0 2 2a+2 2a^2+2a 2a^2+2 2a^2+2a 2 2a^2+2a 2a 0 0 2a^2 2a 2a^2 2a+2 2a 2a+2 2 0 2a^2 2a^2+2a 2a^2+2 0 2a 2a^2+2a 2a^2 0 2a^2 2a^2 0 2a^2+2a+2 2 2a^2+2 2a+2 2 2 2a+2 2 0 2a^2+2 2a^2+2 2 2 2a^2+2a 2a 2a^2+2a+2 2a^2+2a 2a^2 2 2a^2+2a 2 2a^2+2a 0 0 0 0 2 2a^2+2 2a+2 2a 2a^2+2a+2 2a 2a^2 2a^2 2a+2 0 2a 0 2a^2 2a^2+2a 2 2a+2 2a^2+2a 2a 2a+2 2a 2 2a^2+2a+2 0 2a^2+2a+2 2a^2+2a+2 2 2a^2+2a 0 2a^2+2a+2 2a^2+2a+2 2a+2 0 0 2 2a 2a+2 2a 2a^2+2 2a^2+2 2 2a+2 2a^2+2a 2 2a^2+2a+2 2a^2+2a+2 0 2a^2 2a+2 2a+2 2a^2+2a 2a^2+2a+2 0 2a^2+2a 2a+2 2a^2+2 2a^2 2a^2+2 0 2 2a^2+2 2a^2+2a 2a^2 2a+2 0 2a^2+2a+2 2a 2 2a^2+2a+2 2a^2 generates a code of length 73 over GR(64,4) who´s minimum homogenous weight is 464. Homogenous weight enumerator: w(x)=1x^0+413x^464+1554x^472+2450x^480+3066x^488+3339x^496+32669x^504+204596x^512+4081x^520+3710x^528+2786x^536+2002x^544+931x^552+476x^560+49x^568+21x^576 The gray image is a code over GF(8) with n=584, k=6 and d=464. This code was found by Heurico 1.16 in 48.2 seconds.