The generator matrix

 1  0  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  1  7  1  1  1  1  1  1  1  7  1  1  1  1  1 21  1 42  1  1  1  1  1 21
 0  1  1 31 16  0  7  7 48 14 48  6  6 41 20 14  4 19 20 36 19 31 16  4  1 38 26 36  1  9 46 38 43  9 46 26  1 43 10 37 32 40  1 22  1 10 37 18  5 22  1
 0  0 35 21 42  7 14 28  7 42 35 28 14 21  0 35 28 42 42 21  0 28 21 14 14  7 14  0 28 28 21 14  7  0 35 21 35 14  0  7 42 35 42 28  7 35 14  7 28 42 21

generates a code of length 51 over Z49 who´s minimum homogenous weight is 298.

Homogenous weight enumerator: w(x)=1x^0+3150x^298+2646x^299+108x^301+2520x^305+882x^306+198x^308+4620x^312+2646x^313+30x^315+6x^336

The gray image is a code over GF(7) with n=357, k=5 and d=298.
This code was found by Heurico 1.16 in 0.124 seconds.