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

generates a code of length 68 over Z49 who´s minimum homogenous weight is 371.

Homogenous weight enumerator: w(x)=1x^0+456x^371+1224x^378+1680x^385+294x^390+1728x^392+5292x^397+1854x^399+31752x^404+2010x^406+63504x^411+1788x^413+1980x^420+1656x^427+1218x^434+690x^441+366x^448+102x^455+48x^462+6x^469

The gray image is a code over GF(7) with n=476, k=6 and d=371.
This code was found by Heurico 1.16 in 15.6 seconds.