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  1  1  1  1  1  1  7  1  1  7  1  1  1  1  1 42  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 16 48  4 19  1 19 16 48 36 26  1  4  0  1 31 36 46 38  7  3  6  7  9 40 29 32  6 34  9 26 11 10  2 22 26  1 28 29  1 23 48 21  4 33  1 38  6 25  1 21  6 25  9 33  9 38 17 27 16 25 19 45 45  5 41 45 44 27 11  2  0
 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 14 21 35  7 42 35 28 28 42 14 42  0  0 35 42 14 42  7 28 42  7 21 35 35 14 35 21 28 21 14 21 21 14  0 28 14 28 42 42  0 21 21 21 42 14 42 35 28 28 28 28 14
 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 21 28  7 28 35 42 28 14  7  7  0 35 28 14 42 42 42 21  0  7 42 21 42 28 28 21 21 35  0 28 42 14 14 21 42 21 14 35 28 14 42  0 14 28 14 21  0 42  7 21 14 14

generates a code of length 82 over Z49 who´s minimum homogenous weight is 469.

Homogenous weight enumerator: w(x)=1x^0+450x^469+42x^471+168x^472+378x^473+2058x^475+4422x^476+1218x^478+1512x^479+1764x^480+4536x^482+7890x^483+2268x^485+2688x^486+3024x^487+6384x^489+10488x^490+6048x^492+5880x^493+5670x^494+10668x^496+14946x^497+4830x^499+4158x^500+3570x^501+5166x^503+7014x^504+78x^511+96x^518+60x^525+54x^532+60x^539+24x^546+18x^553+6x^560+6x^567+6x^574

The gray image is a code over GF(7) with n=574, k=6 and d=469.
This code was found by Heurico 1.16 in 7.91 seconds.