The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  7  1  7  1  1  1  1  1  1  1  1  1  1  1 42  1  1  1  1 21  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  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  7  1  1  1 14  1  1 21 42  1  1
 0  1  1 31 16 48  4 19  0 36 31  1 16 19 48  4 36  7 38 26  9  9  6  6 44 46  1 46  1 20 32  7 43 38 26 32 21 43 45 33  1 21 22 45 33  1 44 20 42 22 11  1 37 27 31 19 38 24 23 37 26 12 23 24 12 27 41 41  3  9 16  3 48 41 44 45 27 40 40 33  0 29 39  7  1 22 11  1 14  4 36  1 39 39  1  1 21 14
 0  0 35 21 42  7 14 21  7 28 14  7 35  0  0 28 42 14 42 28  7 21 35 21 14  0 14 42 42 28  7 42 21 28 35 35 21  0  7 14 28 35  7  0 42 21 28 14 28 14 21 35  0 42 35  7  0  7  7 14 14 42 21 14 21 28 35 21 28 35  0 35 14  0 42 21  7  7 28  0 14 35 21 35 42 21 42 21 42  7 14 14 35 14 28 35  7 28

generates a code of length 98 over Z49 who´s minimum homogenous weight is 577.

Homogenous weight enumerator: w(x)=1x^0+294x^577+1806x^579+3024x^580+114x^581+882x^584+2268x^586+3024x^587+126x^588+294x^591+630x^593+168x^594+36x^595+588x^598+1470x^600+2016x^601+48x^602+6x^609+12x^616

The gray image is a code over GF(7) with n=686, k=5 and d=577.
This code was found by Heurico 1.16 in 26 seconds.