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 7 1 1 1 1 1 0 7 0 0 7 7 28 14 21 0 7 21 21 21 35 14 14 7 28 14 21 28 0 0 28 7 7 21 0 28 42 28 0 42 28 21 21 42 7 14 14 21 0 28 35 21 14 7 28 14 7 14 42 0 28 42 35 35 0 21 7 14 0 28 28 14 7 28 0 0 7 14 21 42 21 14 14 7 7 21 14 7 35 0 0 7 0 35 28 21 35 42 21 21 21 35 35 28 0 0 21 7 28 14 7 7 35 0 7 7 7 35 0 35 14 28 28 21 28 14 7 28 7 28 21 0 14 14 14 42 0 14 35 35 42 0 21 7 42 35 14 42 42 7 28 28 21 28 14 21 0 14 14 28 14 35 0 42 14 28 42 21 14 35 0 21 0 0 0 7 35 7 14 42 42 28 7 0 14 42 42 35 7 14 35 7 7 21 14 28 35 35 14 0 35 28 14 28 21 42 7 21 14 42 14 42 35 21 14 21 7 42 35 35 42 21 42 42 0 21 14 21 7 21 35 7 0 28 14 35 28 7 0 21 35 0 28 14 28 21 14 35 0 28 28 0 14 14 42 generates a code of length 83 over Z49 who´s minimum homogenous weight is 476. Homogenous weight enumerator: w(x)=1x^0+282x^476+552x^483+444x^490+2058x^492+282x^497+12348x^499+252x^504+132x^511+138x^518+84x^525+78x^532+60x^539+42x^546+24x^553+12x^560+18x^574 The gray image is a code over GF(7) with n=581, k=5 and d=476. This code was found by Heurico 1.16 in 0.469 seconds.