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

generates a code of length 87 over Z49 who´s minimum homogenous weight is 506.

Homogenous weight enumerator: w(x)=1x^0+2688x^506+4032x^507+2940x^508+126x^509+1134x^510+1704x^511+1050x^512+8568x^513+7350x^514+5670x^515+798x^516+2478x^517+2406x^518+1218x^519+10752x^520+7434x^521+5628x^522+378x^523+2226x^524+2340x^525+882x^526+9072x^527+8106x^528+5250x^529+756x^530+2394x^531+2070x^532+966x^533+8022x^534+6006x^535+3150x^536+24x^539+24x^546+6x^553

The gray image is a code over GF(7) with n=609, k=6 and d=506.
This code was found by Heurico 1.16 in 6.45 seconds.