The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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
 0  7  0  0  7  7 28 14 21  0  7 21 21 21 35 14 14 28  7 14 21 21 28 14 42 28  7  0 14 28 42 35 28  7 21 14 28 42  7  7 42 14  0 42 42 21  7 28  0  7 21 42 42  7  0 21 35 14 28
 0  0  7  0 35 28 21 35 42 21 21 21 35 35 28  0  0  7 21 28 21 14  0  7 14 35 14 14 28 14 35 28  0  7  7  7 28 28 14  7  0 35  7  0 14 28 42 28 21 21 21 28 35 28 14  7 35  7 14
 0  0  0  7 35  7 14 42 42 28  7  0 14 42 42 35  7 35 14  7 21  7  0 21 42  0 35  7 42 28 35 14 28  0 14 35 21 42 42 14 35 21 21 28  0 21 42 14 21 28  7 28  0  0 28 35  7  7 35

generates a code of length 59 over Z49 who´s minimum homogenous weight is 336.

Homogenous weight enumerator: w(x)=1x^0+276x^336+654x^343+2058x^348+564x^350+12348x^355+510x^357+102x^364+12x^371+18x^378+18x^385+66x^392+126x^399+48x^406+6x^413

The gray image is a code over GF(7) with n=413, k=5 and d=336.
This code was found by Heurico 1.16 in 23.3 seconds.