The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  7  1  1  1  7  1  1 35  1  1  1  1  1 35  1  1  1  1  1 14  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31  1 16 19 48  4 36  7 38 26  9  6 46  1  9  6 46  1  7 29  1 14 20 18 44 18  1 43 14 43 23 20  1 23 21 15 21 29 37 15 21 16  7  1  9 38 26 45  3
 0  0 35 21 42  7 14 21  7 28 14  7 35  0  0 28 42 14 42 28  7 35  7 35 21 21 35 21 35  7 14 42 28 42 14  0 42 21  7 35 21 35 28  7 21  0 28 14 14 21 14  0  0 42 35 28 35  7 14

generates a code of length 59 over Z49 who´s minimum homogenous weight is 343.

Homogenous weight enumerator: w(x)=1x^0+918x^343+252x^344+1806x^346+882x^347+2850x^350+672x^351+1680x^353+294x^354+894x^357+1134x^358+2688x^360+882x^361+1812x^364+18x^371+6x^378+12x^385+6x^392

The gray image is a code over GF(7) with n=413, k=5 and d=343.
This code was found by Heurico 1.16 in 0.122 seconds.