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

generates a code of length 71 over Z49 who´s minimum homogenous weight is 406.

Homogenous weight enumerator: w(x)=1x^0+456x^406+468x^413+294x^414+360x^420+3528x^421+390x^427+10584x^428+150x^434+168x^441+144x^448+84x^455+72x^462+42x^469+30x^476+24x^483+6x^490+6x^497

The gray image is a code over GF(7) with n=497, k=5 and d=406.
This code was found by Heurico 1.16 in 89.6 seconds.