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  7  1  1  1  1  1 14  1  1  1 28  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1 21  1  1  1  1 28  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  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  9  1  7  9 38 43  6  1 27 21 40  1  9 40 38  8 23 28  3 46 43 46  1 35 20 27  3  1 44 43 31 30  1  6 48 29 13 24 29 44 35 11 27 23 44 40 43 29  6 32 20  1 21 20  9 44 19 37  6 35 32  8 42  4 17 38 36
 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 28 35 14 21 14 42 21 42  7 35 35  7 21 28 35 14  7 28 14 28 28 35 42 35 42  0  0 35 42  0  7  7 21 35 35  0 42 42 42 28 28 42 21 42  0 28 28  7 28  7  0  0 14 35 35 14 28 21 28  7 21 42 14 28 21 21 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  0 42 14  7 21 42  0 28  0  7 42 35 21 14 14 14 28 21 35 42  0 42 35 21  7  7 35  0 28  0 21 14 28 35 28 42  0 28 14 14 42 28 21  0 28  0 35  7 35 42 21  7  0  7 14  7  7 14 28 35 35  7 42 35  7 14 28

generates a code of length 98 over Z49 who´s minimum homogenous weight is 563.

Homogenous weight enumerator: w(x)=1x^0+420x^563+84x^564+126x^565+252x^566+354x^567+1386x^569+2730x^570+1092x^571+1092x^572+1596x^573+534x^574+3864x^576+6594x^577+1680x^578+2814x^579+2394x^580+534x^581+6132x^583+9240x^584+3738x^585+3150x^586+3654x^587+210x^588+8946x^590+12894x^591+5334x^592+4956x^593+4620x^594+222x^595+7182x^597+8904x^598+2478x^599+2268x^600+1890x^601+144x^602+1302x^604+2436x^605+120x^609+54x^616+48x^623+72x^630+18x^637+24x^644+30x^651+12x^658+6x^665+18x^672

The gray image is a code over GF(7) with n=686, k=6 and d=563.
This code was found by Heurico 1.16 in 9.42 seconds.