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

generates a code of length 60 over Z49 who´s minimum homogenous weight is 336.

Homogenous weight enumerator: w(x)=1x^0+120x^336+468x^343+480x^350+2058x^354+378x^357+12348x^361+288x^364+174x^371+156x^378+114x^385+120x^392+48x^399+30x^406+18x^413+6x^420

The gray image is a code over GF(7) with n=420, k=5 and d=336.
This code was found by Heurico 1.16 in 0.298 seconds.