The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1 35  1  1  1  1  1  1  1 21  7  1  1  1  1  1  1  1 14  1  1  1  1 42  1  1  1  1  1 14  1  1  1  1  1  1  1  1  1  1  1  1  1 35  1  1  1  1  1  1 14  1  1 14  1  1  1  1  1
 0  1  0 35 21 36 17 30 34 29 31 37 48  1 43  2 11 25  4 20  3  1  1 19  7  8 31  5 18 41  1 23 27 38  4  1 22 16  1  3 39  1 37 40 12 20 39 47 29  2 13 41 33 46 38  1 23 17  5 22 34 32  0 14 42  1 40 29 40 37 28
 0  0  1 36 31  5  4 18 16 48  7  9 40 29 10  1 12 46 27 38 13 17 41 15  6  8 33 44  2 39  5 35 41 29 45 16 11  3 16  9 22 18 26 32 38 14 46 19 25  6 17 22 15 34 23 34 45 48 37 42 10 15  1 29 27 25 23  2 27  2 45

generates a code of length 71 over Z49 who´s minimum homogenous weight is 409.

Homogenous weight enumerator: w(x)=1x^0+2142x^409+1260x^410+84x^411+462x^412+720x^413+1932x^414+2268x^415+10248x^416+3738x^417+1008x^418+3738x^419+1788x^420+3318x^421+3906x^422+13986x^423+5166x^424+1260x^425+3486x^426+1800x^427+3444x^428+3024x^429+13566x^430+5166x^431+1764x^432+4662x^433+2136x^434+3654x^435+3150x^436+11508x^437+3192x^438+18x^441+36x^448+12x^455+6x^462

The gray image is a code over GF(7) with n=497, k=6 and d=409.
This code was found by Heurico 1.16 in 5.58 seconds.