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  1  7  1  1  1  1  1  1 42  1  1  1  1  1  1  1  1  1  1 21 21  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 42  1  1  1  1  1 14  1  1  1  1  1  0 28  1 35  1  1  1  1  1  1 14 28
 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 20 46  1 32 32  7 21 38 45  1 43 43 26 33 21 42 22 22 45 33  1  1 11 44 37 23 37 23 20 13 48 16 23 37 31  3 19 40 38  3 45  3 15 11  0  1 13  5 42  1 39  1  6 40 21 15 11  7  1 20  1  4 36  5  7 22 42  1  1
 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 28 42 42  7 35 42 21 28  7 28 21  0 35 14 35 28 14  7  0 42 21 35 21 28  0  7 14 21 21 42 14 28 42 35 42 35  7 28  0 28 21  7 42 14 14  7 14 35 42 21 35 21 28 14  7 35 42 42 28  0  0  0  7 28 35  0 21  0  7

generates a code of length 96 over Z49 who´s minimum homogenous weight is 567.

Homogenous weight enumerator: w(x)=1x^0+2028x^567+2394x^568+2058x^569+2076x^574+2016x^575+882x^576+912x^581+252x^582+294x^583+1476x^588+1512x^589+882x^590+18x^602+6x^616

The gray image is a code over GF(7) with n=672, k=5 and d=567.
This code was found by Heurico 1.16 in 41.8 seconds.