The generator matrix

 1  0  0  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  1  1  1  1  1  1 35 14  1 42  1  1  1  1  1  1 28  1  1  1  1  1  1  1
 0  1  0 35 21 42  7 14  1 17 30 18  5 36 31  4  8  3 16 46 44 12 29 45 41  1  5 15  6 33 39 27 13 40  4 24 37  1  1 34  1 47 43  2  3 39 48  1 37  1 23  6 19 15 19
 0  0  1 36 31 16 34 18 25  4 11 39 46 12  7 38  9 19 27 40 29 44  1 13  2 24 47 24 36 20 14 33  6 35 15  3 24 27 12 10  2 22 14 30 44 34 42 25 19 48 21 11 45 16  2

generates a code of length 55 over Z49 who´s minimum homogenous weight is 316.

Homogenous weight enumerator: w(x)=1x^0+2310x^316+5040x^317+2520x^318+252x^320+54x^322+11592x^323+15792x^324+5628x^325+672x^327+156x^329+13104x^330+14448x^331+4998x^332+1134x^334+126x^336+16212x^337+18228x^338+5376x^339+6x^357

The gray image is a code over GF(7) with n=385, k=6 and d=316.
This code was found by Heurico 1.16 in 3.96 seconds.