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

generates a code of length 67 over Z49 who´s minimum homogenous weight is 364.

Homogenous weight enumerator: w(x)=1x^0+288x^364+1164x^371+1698x^378+2700x^385+10896x^392+38244x^399+56478x^406+1902x^413+1596x^420+1296x^427+780x^434+468x^441+102x^448+36x^455

The gray image is a code over GF(7) with n=469, k=6 and d=364.
This code was found by Heurico 1.16 in 15.4 seconds.