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

generates a code of length 65 over Z49 who´s minimum homogenous weight is 371.

Homogenous weight enumerator: w(x)=1x^0+420x^371+822x^378+3948x^385+10956x^392+192x^399+144x^406+84x^413+60x^420+54x^427+54x^434+42x^441+24x^448+6x^455

The gray image is a code over GF(7) with n=455, k=5 and d=371.
This code was found by Heurico 1.16 in 81.5 seconds.