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  1  7  1  1  1  1  1  7  1  1  1  1  1  7  1  1  1  1  1  1  1 21  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 14  6  1  6 23 40  2 38  1 46  6 11 26 33  1 29  6 35 25  1  1 11  1 35 13 35 29  2 38 27  5  9 22  1  0 31 39  3 21 45 36 46  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 35 21 35  0 14 14 35 21 14  7  0 42  0 28 28 42 21  7  0  0 14  7 42 14 42 28 35  0 42  0 42  7  7 28 35  0  7 28 28 21 14 14  0
 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  7 28  7 42 28 14 14 28 14 14 14  7  7 35  7 28 21  7 42 21 35 21 14 28 14 42 28  0  0  7  7 14  0 35 35 21  0 42  0 21 21  7  0

generates a code of length 72 over Z49 who´s minimum homogenous weight is 406.

Homogenous weight enumerator: w(x)=1x^0+126x^406+252x^408+42x^411+294x^412+1566x^413+1974x^415+1176x^418+3108x^419+5574x^420+4494x^422+2394x^425+5376x^426+9936x^427+6258x^429+5922x^432+11676x^433+16746x^434+10122x^436+4872x^439+8358x^440+11070x^441+5712x^443+144x^448+174x^455+138x^462+42x^469+42x^476+60x^483

The gray image is a code over GF(7) with n=504, k=6 and d=406.
This code was found by Heurico 1.16 in 6.75 seconds.