The generator matrix

 1  0  0  1  1  1  1  1  1  1 35  1  1  1  1  1  7  1  1  1  1  1  1 14  1  1  1  1  1  1  1 21  1  7  1  1  1  1  1  1  1  1  1  1  1  0  1 28  1  1  1  1  1  1  1  1 35  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 14  1  1  1  1  1 21  1  1  1  1  1  1 14  1  1  1  1  1  1 42  1
 0  1  0 35 21 42  1 36 31 17  1 29 48 34 38 46  1  5 24 27 18 39 22  1 23 19 37  8 41 47 20  1  5  1 45  9 25 44 14 22 30  2 18 28 10  1 33 21 47 13  4 17 15 33 39 37  1 32 36 23 21 22 33  3  4 30 19 31 43 14 37  0 46 44 43  1 13  6 47 12 29  1 32 30 11 20 31 19  1  9 10  1 26 12 24  1 42
 0  0  1 36 31 16 30 17 21 44  9 48  7 43 10 13 47 22  6  9 38 40  1 46 28  4 34 42 25 16 20 36 24  3  4 45 42 22 39 46  9 33 39 47  1 48 27  1 35 24 37 33 47 12 41 44 27 15  5 15 25 36 13 40  3  6 20 11  2 28  6 44  7 42 15 29 23  1 22 12  0 14 30 27 28 11 20  9  9 21  4 17 21 38 43 22 20

generates a code of length 97 over Z49 who´s minimum homogenous weight is 563.

Homogenous weight enumerator: w(x)=1x^0+966x^563+168x^564+1218x^565+714x^566+906x^567+1470x^568+6006x^569+4074x^570+1554x^571+3192x^572+2352x^573+3036x^574+4200x^575+8400x^576+5922x^577+2310x^578+3822x^579+2688x^580+2478x^581+3696x^582+7686x^583+6132x^584+1806x^585+3780x^586+2352x^587+2088x^588+2940x^589+5964x^590+5292x^591+2394x^592+4452x^593+2184x^594+2046x^595+2100x^596+4872x^597+2310x^598+48x^602+24x^609+6x^616

The gray image is a code over GF(7) with n=679, k=6 and d=563.
This code was found by Heurico 1.16 in 7.47 seconds.