The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  7  1  1  1  1  7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 28  1  1  1 28  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  7  1  1  1 28  1  7  1  1  1  1  1  1 21  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31  1 16 19  7 36  1  9 29 26  9  1 38  7 14 48  4 44  6 46 29 38  6 46 26  3 20 11 33  1  0 15 11  1 17 33 16 20 30 27  7 31 19 42 27 36  1  1  3 47  1 44 15 30  1 26 42 24 13 21 13  5 14  1 38 43 44  1
 0  0 35 21 42  7 14 21  7 28 14  7 35  0 28 14 35  7 21 35  0 42 42 42 14 28  0 21 35 28  7  0 14 21 42 28 21 42  7 14 35  0 35 28 35 28 28 42 14  0 21  7 14 14 28 42 21  0 42 21 14  7 14 35  0  7 28 35  7 42  0 28 21 28 28 21  0 42

generates a code of length 78 over Z49 who´s minimum homogenous weight is 458.

Homogenous weight enumerator: w(x)=1x^0+3150x^458+672x^459+882x^461+144x^462+3654x^465+588x^466+294x^468+138x^469+2646x^472+336x^473+882x^475+6x^476+2898x^479+462x^480+24x^483+12x^490+18x^497

The gray image is a code over GF(7) with n=546, k=5 and d=458.
This code was found by Heurico 1.16 in 15.4 seconds.