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

generates a code of length 65 over Z49 who´s minimum homogenous weight is 350.

Homogenous weight enumerator: w(x)=1x^0+204x^350+858x^357+1518x^364+1638x^371+1860x^378+14406x^384+2016x^385+86436x^391+1980x^392+1836x^399+1764x^406+1386x^413+1044x^420+474x^427+180x^434+42x^441+6x^448

The gray image is a code over GF(7) with n=455, k=6 and d=350.
This code was found by Heurico 1.16 in 14.9 seconds.