The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1  1  1  1 21  1  1  1  1  1  1  1 14  1  1  1  1  1  1  1 42  1  1  1  1  1  1  1 28  1  1  1  1  1  1  1 35  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 36 31 16 48  4 19  7 29 38  9  6 46 26  1 21 43  3 23 20 11 40  1 14 15 45 44 13 32 33  1 42 22 24  2 41 39 12  1 28  8 10 37 27 25 47  1 35  1 17 30 34 18  5  1  0 36 31 16 48  4 19  7 29 38  9  6 46 26 21 43  3 23 20 11 40 14

generates a code of length 78 over Z49 who´s minimum homogenous weight is 464.

Homogenous weight enumerator: w(x)=1x^0+756x^464+168x^465+294x^468+6x^469+1008x^471+126x^472+36x^476+6x^497

The gray image is a code over GF(7) with n=546, k=4 and d=464.
This code was found by Heurico 1.16 in 0.0642 seconds.