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  1  1  1  1  1  1  1 35  1  1 35  1  1  1 14  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 38 26 30 18 21 15 45  1  2 18  1 40 40 39  1 12 30 21  7 42  9 46 44 21 39 34 20  0
 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  0 42 28 42 21  0  7 42 14  0 14 14  7 21 28 35  0 35 42 28 35 14 14  0  7 14 35 14

generates a code of length 58 over Z49 who´s minimum homogenous weight is 336.

Homogenous weight enumerator: w(x)=1x^0+372x^336+294x^337+840x^339+588x^340+1764x^341+1998x^343+882x^344+1260x^346+588x^347+588x^348+636x^350+294x^351+2016x^353+882x^354+1764x^355+1404x^357+588x^358+30x^364+18x^371

The gray image is a code over GF(7) with n=406, k=5 and d=336.
This code was found by Heurico 1.16 in 0.122 seconds.