The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  0  1  1  1  1  1  1  1  1  7  1  1  1  1  1  7  1  1  1  1  1  1  1  1  1  1 14  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16 48 36  4  1  0 31 38 36  7 26  9  6  1 23 40 46  6 21  1 38  2 20 46 47 46 12 13 30 39  1  9  6 40  4 46  6 16  5 39 41 40 23 30 20 38 11  6 21  5  0
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 14 21 42 14 21  7 35 21 21 42  7  0 35 14 14 42 21  0 14 21 35 21  7 28 35 14  0  7  7  0 35 28 35  0 35  7 28  0 14  0 42 14 28 28 14 21 21  7 35 21
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35 35 14  0 42  0 35 21  7 35 21 42  7 28 14  7 28  7 14 28 14 21 21 35  7 42 28 35 14 42  7  0 14 42 42  0  0  0  7  7 28 14  7 14 21 42  7 28 21  0

generates a code of length 68 over Z49 who´s minimum homogenous weight is 385.

Homogenous weight enumerator: w(x)=1x^0+360x^385+210x^387+3402x^391+1626x^392+1554x^393+798x^394+7476x^398+2958x^399+4158x^400+2520x^401+15666x^405+3960x^406+11718x^407+6132x^408+23184x^412+4914x^413+11382x^414+4746x^415+7896x^419+2502x^420+162x^427+126x^434+60x^441+72x^448+30x^455+24x^462+12x^469

The gray image is a code over GF(7) with n=476, k=6 and d=385.
This code was found by Heurico 1.16 in 6.24 seconds.