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

generates a code of length 88 over Z49 who´s minimum homogenous weight is 512.

Homogenous weight enumerator: w(x)=1x^0+3444x^512+4284x^513+3024x^514+126x^515+1218x^516+882x^517+60x^518+8022x^519+9240x^520+4914x^521+798x^522+2520x^523+966x^524+120x^525+11172x^526+10710x^527+4956x^528+378x^529+1890x^530+1302x^531+120x^532+10374x^533+10164x^534+4410x^535+756x^536+2604x^537+966x^538+8148x^540+6762x^541+3276x^542+12x^546+24x^553+6x^560

The gray image is a code over GF(7) with n=616, k=6 and d=512.
This code was found by Heurico 1.16 in 6.34 seconds.