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

generates a code of length 71 over Z49 who´s minimum homogenous weight is 385.

Homogenous weight enumerator: w(x)=1x^0+198x^385+840x^392+1422x^399+1614x^406+1800x^413+2058x^414+1836x^420+24696x^421+2094x^427+74088x^428+1878x^434+1686x^441+1530x^448+924x^455+576x^462+294x^469+84x^476+24x^483+6x^490

The gray image is a code over GF(7) with n=497, k=6 and d=385.
This code was found by Heurico 1.16 in 16.4 seconds.