The generator matrix

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

generates a code of length 51 over Z49 who´s minimum homogenous weight is 292.

Homogenous weight enumerator: w(x)=1x^0+4704x^292+2604x^293+258x^294+22932x^299+7770x^300+792x^301+26460x^306+9576x^307+714x^308+32340x^313+8862x^314+630x^315+6x^350

The gray image is a code over GF(7) with n=357, k=6 and d=292.
This code was found by Heurico 1.16 in 3.61 seconds.