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

generates a code of length 62 over Z49 who´s minimum homogenous weight is 336.

Homogenous weight enumerator: w(x)=1x^0+456x^336+1296x^343+1626x^350+294x^354+1698x^357+5292x^361+2064x^364+31752x^368+1998x^371+63504x^375+1950x^378+2166x^385+1620x^392+942x^399+654x^406+282x^413+48x^420+6x^427

The gray image is a code over GF(7) with n=434, k=6 and d=336.
This code was found by Heurico 1.16 in 14 seconds.