The generator matrix

 1  0  0  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 35  1 42  1  1  1  1  1 14  0  1  1  1  1  1  1  1  1  1  1  7  1 42  1  1  1  1  1  1  1  1  1  1
 0  1  0 35 21 42 36 30 31  1 16 38  4 34 18 48 29 17 27  2 32  5 12 24 47 33 29 44 13 43 46 26  7  4 45  0  1 10 37  1 23  1 20 34 15 14 39  1  1  2 15 19  6 17 24 23 19 40 13  1 45  1 22 22 43 47  3 41 26 16 28  7
 0  0  1 36 31 16  5 18  7 25 34 10 47  9  8 48 13 32 15 42 23 33 29 26  4 38  1  3  4 14  6 44 46 45 37 33  4 20 16 36  1 33 40 24  2 41 25 10 41 26 17 20 47 22 27  2 22 24  7 15 39  7 17  1 28 48 33 36 37 35 38 28

generates a code of length 72 over Z49 who´s minimum homogenous weight is 415.

Homogenous weight enumerator: w(x)=1x^0+2310x^415+798x^416+546x^418+294x^419+2250x^420+4032x^421+11676x^422+1386x^423+630x^424+2772x^425+1386x^426+4452x^427+5880x^428+15456x^429+2352x^430+504x^431+3108x^432+1050x^433+3336x^434+5544x^435+15372x^436+2058x^437+924x^438+3864x^439+1386x^440+4662x^441+5124x^442+12810x^443+1638x^444+12x^448+30x^455+6x^462

The gray image is a code over GF(7) with n=504, k=6 and d=415.
This code was found by Heurico 1.16 in 5.59 seconds.