The generator matrix

 1  0  0  1  1  1  1  1  1  1  7  1  1  1  1  1  1  1 14  1  1  1  1  1 28  1  1  1  1 21  1  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1  1  1  1  0 35  1  1  1  1  1  1  1  1 35  1
 0  1  0 36 31 16 35 29 38 30  1 34  4  7  9 27  1 10  1  6 47 42 22  9  1 20 17  5 36  1 23 20 28 24 31 32 44 48 14  1 12  0 40 21 37 39  8 24 48  1  1 46 27 24 23 22 38 23 29  1 48
 0  0  1  5 31 34 36 38 28 37 34 43 41 13 14  2  8 44 39 17  6 16 35 32 19 18 25 15 37 31 36 40  4  8 20 30 19 11 12 13 30  1 47 15  3 22 12  9  7  8 15 45 43 16 14 37 35  4  8  9 34

generates a code of length 61 over Z49 who´s minimum homogenous weight is 349.

Homogenous weight enumerator: w(x)=1x^0+1008x^349+144x^350+462x^351+672x^352+1764x^353+3486x^354+3612x^355+4200x^356+222x^357+3150x^358+6426x^359+5334x^360+5964x^361+5292x^362+5166x^363+948x^364+4662x^365+5712x^366+5208x^367+6720x^368+5040x^369+5376x^370+978x^371+6132x^372+7770x^373+6216x^374+6468x^375+4578x^376+4830x^377+60x^378+42x^385+6x^392

The gray image is a code over GF(7) with n=427, k=6 and d=349.
This code was found by Heurico 1.16 in 4.79 seconds.