The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 21 35 1 1 1 1 1 14 1 28 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 42 1 1 1 1 42 1 1 1 35 0 1 1 1 0 1 1 1 1 1 1 1 1 14 1 1 1 1 28 1 1 1 1 1 0 1 0 35 21 42 1 17 16 48 8 31 9 34 19 40 27 36 45 1 1 5 2 43 38 3 1 13 1 33 41 30 4 25 40 42 18 10 14 20 12 15 29 37 0 1 5 8 3 46 1 47 35 9 1 7 27 36 17 1 32 12 1 34 44 24 23 28 1 5 21 41 38 1 33 4 15 13 20 0 0 1 36 31 16 30 23 5 48 4 19 6 43 38 7 39 27 3 9 46 8 46 12 42 1 5 28 43 39 10 29 11 26 9 19 41 11 34 9 5 35 36 21 4 3 27 22 25 28 36 15 48 7 32 1 33 6 19 24 26 32 12 31 41 40 18 34 29 20 3 30 38 26 10 34 0 18 17 generates a code of length 79 over Z49 who´s minimum homogenous weight is 458. Homogenous weight enumerator: w(x)=1x^0+3444x^458+3192x^459+504x^460+714x^461+384x^462+1680x^463+462x^464+11634x^465+7602x^466+2100x^467+3276x^468+690x^469+3654x^470+714x^471+13440x^472+8988x^473+2520x^474+3066x^475+678x^476+2352x^477+420x^478+12642x^479+7602x^480+3108x^481+3234x^482+576x^483+2604x^484+462x^485+10290x^486+5544x^487+6x^490+30x^497+24x^504+6x^511+6x^518 The gray image is a code over GF(7) with n=553, k=6 and d=458. This code was found by Heurico 1.16 in 8.26 seconds.