The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1  1 21  1  1 35  1  1  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1  1  1  0  1  1  1 28  1  1  1  1  1  7 14  1  1  1  1  1  1  1  1 35  1  1  1  1  1
 0  1  0 36 31  7  1 17 30 16 48 21 34  1  8  6 38  9 43  1 28 46  1 33 26 19 40 27 25 45 12 44  5 29 44 45 42 21 22  4 17 33  1 21 42 10  1 19  9 31 15 25  1  1  0  2 47 41 32 11  3 12  1 41 32  0  7 20
 0  0  1  5 31 17  8 36 18 35 26 19  1 41  9 41 42  3  6 12 15 33 45 43 40 17 25 28 16 34 37 12 48 36  2 11 29  1 24 31 34 45 47 15 32 16 41 10 22 12  5 38 45 12 22 33  3  5 30 42 40  9 29 28 43  6 38 11

generates a code of length 68 over Z49 who´s minimum homogenous weight is 392.

Homogenous weight enumerator: w(x)=1x^0+2904x^392+336x^393+1050x^394+1386x^395+2940x^396+1596x^397+1302x^398+11268x^399+2604x^400+1848x^401+3066x^402+5670x^403+2310x^404+1764x^405+12162x^406+4368x^407+3444x^408+3822x^409+6300x^410+2352x^411+2268x^412+12072x^413+5040x^414+3948x^415+4074x^416+5670x^417+1974x^418+840x^419+9192x^420+30x^427+36x^434+6x^441+6x^448

The gray image is a code over GF(7) with n=476, k=6 and d=392.
This code was found by Heurico 1.16 in 19.6 seconds.