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  1  1  1  1  1  7  1  1  1  1  1  1  1  1  1  7  1  1  7  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1 14  1 21  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
 0  1  1 31 16 48  4 19  0 36 31 16 48  4 19  1 19 16 48 36  4  1  0 31 36 26 38  7  6 46 29 11 38  6 26  9  1 34 21 26 38 14  8 45 42  5  1 41  9  1  7 18 48 16 38 24  1  6 17  3  8  9 25 15 31 19  1  4  1 25 22 42 44 47  9 41 33 21 29  2 39 12  6 29 42 18 35  8 26 20 21 29 25 41 31 29 48
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 14 21 42 14 21  0 14 42 35 28 21 14  7 35 28 28  0 14 28  0 14 14 42 21 42  0 28 35 21 21 14 35  0 28 42 21 35  7  0 28  7 35 35 28 14 21 28 21 42  0 35 28 42  7  0 14  0  0 35  7 21 42 14 35 42 35 14  7 21 21 21  0 42  7 21 28 21 42 35
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35 35 14  0 42 14  7 35 35 28 28 21 14  7  0 42  0 14 21 42 28 14 14 14 35 35 14 35 28 21  0 42 14 42  7  7  0 21 14  7  0 14 21  0  7 21 21 35 28 42  0  7 21  7  7 28 21  0 42 35  0  7 14  7  0 42 35  0 35 14 28 21 42 21 14  0 21  7 28

generates a code of length 97 over Z49 who´s minimum homogenous weight is 560.

Homogenous weight enumerator: w(x)=1x^0+768x^560+756x^561+378x^563+630x^564+2856x^566+3834x^567+3654x^568+1806x^570+2142x^571+5082x^573+5250x^574+5670x^575+2898x^577+3024x^578+6426x^580+7608x^581+7014x^582+5796x^584+5586x^585+9870x^587+9180x^588+8190x^589+3528x^591+3024x^592+4578x^594+4158x^595+3528x^596+102x^602+72x^609+90x^616+30x^623+42x^630+24x^637+12x^644+24x^651+6x^658+12x^665

The gray image is a code over GF(7) with n=679, k=6 and d=560.
This code was found by Heurico 1.16 in 49.7 seconds.