The generator matrix

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

generates a code of length 86 over Z49 who´s minimum homogenous weight is 500.

Homogenous weight enumerator: w(x)=1x^0+1848x^500+4116x^501+2604x^502+462x^503+1194x^504+840x^505+4830x^506+6636x^507+7560x^508+5334x^509+966x^510+2580x^511+1092x^512+5166x^513+6006x^514+8988x^515+5082x^516+1386x^517+2304x^518+1176x^519+4284x^520+6552x^521+7854x^522+4578x^523+1302x^524+2448x^525+1008x^526+4242x^527+5712x^528+6468x^529+2982x^530+12x^532+24x^539+12x^546

The gray image is a code over GF(7) with n=602, k=6 and d=500.
This code was found by Heurico 1.16 in 6.18 seconds.