The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1  1  1  1  1  1  1  1  7  1  1  1  1 35  1  1  1 14  1  1  1 35  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31  1 16 19  7 48 38  4  7 38  6 46  1  6 27 36 26 43 26  9 14 47  9 46  1 29 10  2 18  1  2 18 47  1 21 27 39  1  1  3 29 45 14 48 21 20  8  9 45 23 27 23 38  0  1  3 14  8 20 23  6 10 16 21 43  3  7 20 36 30 45 43 30
 0  0 35 21 42  7 14 21  7 28 14  7 35  0 28 42  7 35 14 42 35 28 35 21  0 42 28  0  7 14 35 42 28 21 21 14  0  7 42 42  0  7 35 28 21 28  0 14 28 21 21 28 42 14  0 21 35 35  0 21 35 14 14 28 14 28 21 42 42  0  0 42  7 35  7  7  7  7  0 28 35 21 21

generates a code of length 83 over Z49 who´s minimum homogenous weight is 489.

Homogenous weight enumerator: w(x)=1x^0+1218x^489+2982x^490+1764x^491+1470x^496+2934x^497+588x^498+462x^503+1110x^504+1764x^505+966x^510+1524x^511+6x^525+12x^532+6x^539

The gray image is a code over GF(7) with n=581, k=5 and d=489.
This code was found by Heurico 1.16 in 0.229 seconds.