The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  0  1  1  7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 21  1  1 42  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1 14  1 35  1 42  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 16 48  4 19  1 19 16 48 36 26  1  4  0  1 31 36 46 38  7  6  3  7  9 40 29 32  6  9 22  1 26  2  1 42 25 17 48 26 21  1 43 32 30 45  6 32 28 36 41 40 25  7 11 34  1 43  1 40  1 43 34 43 32  0 28 42 36 32 15 14  3 18 19
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 14 21 28  7  7 14 28 14 42  0 35 42 21 14 35  7 42 35 28 28 35 42 42 42 28 28  0 21  7 14 28  7 42  0 35 14 42  0 42 14  0 21 35 14  7  7  7  7 28 14 28 28  7 28  7 21 21  0 42 42  0 14 14  0 42  7
 0  0  0  7 28 28 21 42  0 42  7 42 35 28 21 21 42 21 35 35 35 21  0 35 28 28 35 14 21 21 28 21  7 28 35 42 28 14 14 42  0  0  7 21 21  0 42  0 42  0 42 14 35  7  7  0 28  7 28 14  7 14 21 21  7 35  0 35 14  0 42 35  0  7 35 42 42  0  7 21 42 28 21 21

generates a code of length 84 over Z49 who´s minimum homogenous weight is 482.

Homogenous weight enumerator: w(x)=1x^0+462x^482+438x^483+168x^484+2016x^486+5124x^489+1728x^490+1512x^491+5922x^493+7854x^496+2712x^497+2688x^498+9828x^500+9870x^503+6342x^504+5880x^505+16254x^507+14154x^510+4974x^511+4158x^512+9198x^514+5754x^517+162x^518+96x^525+126x^532+78x^539+42x^546+66x^553+18x^560+24x^567

The gray image is a code over GF(7) with n=588, k=6 and d=482.
This code was found by Heurico 1.16 in 33.9 seconds.