The generator matrix

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

generates a code of length 77 over Z49 who´s minimum homogenous weight is 446.

Homogenous weight enumerator: w(x)=1x^0+2814x^446+3654x^447+384x^448+546x^449+2142x^450+2058x^451+1092x^452+8736x^453+7812x^454+1668x^455+882x^456+3864x^457+3864x^458+1008x^459+9912x^460+10206x^461+2196x^462+1302x^463+4368x^464+3738x^465+1176x^466+9744x^467+10332x^468+2172x^469+1386x^470+4032x^471+2688x^472+840x^473+7896x^474+5040x^475+42x^476+12x^483+18x^490+18x^497+6x^518

The gray image is a code over GF(7) with n=539, k=6 and d=446.
This code was found by Heurico 1.16 in 7.26 seconds.