The generator matrix

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

generates a code of length 78 over Z49 who´s minimum homogenous weight is 452.

Homogenous weight enumerator: w(x)=1x^0+2352x^452+3906x^453+462x^454+858x^455+1680x^456+798x^457+2142x^458+9324x^459+8988x^460+2226x^461+1536x^462+3654x^463+1134x^464+2142x^465+9324x^466+10038x^467+2394x^468+1956x^469+3528x^470+1218x^471+2226x^472+11004x^473+9954x^474+3150x^475+2070x^476+3486x^477+966x^478+1722x^479+7098x^480+6216x^481+36x^483+18x^490+24x^497+12x^504+6x^511

The gray image is a code over GF(7) with n=546, k=6 and d=452.
This code was found by Heurico 1.16 in 7.78 seconds.