The generator matrix

 1  0  1  1  1  1  1  0  1  1  7  1  1  7  1  1 42  1 21  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
 0  1  1 31 16  0 31  1  7 38  1  7 38  1 28 45  1 45  1 28  1 48 19  4 19 36 16 48  4 36  9  6 46 26 29  9 26  6 18  8 12 13  2 39 18 12 46  1  2 13
 0  0 35 21 42  7 28 14 42 14 35 35  0 28 14 35  7 42 21 28 42  0 28 28  0 42 35 14 14 28  0  7  7  7  7 14 42 35  0 21 21 28 21 21 42 35 35  0 28 42

generates a code of length 50 over Z49 who´s minimum homogenous weight is 292.

Homogenous weight enumerator: w(x)=1x^0+3780x^292+1764x^293+114x^294+3024x^299+588x^300+138x^301+5544x^306+1764x^307+72x^308+18x^315

The gray image is a code over GF(7) with n=350, k=5 and d=292.
This code was found by Heurico 1.16 in 17.5 seconds.