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  1  7  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  7  1  1 14  1  1 28  1  1  7  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 31  1 36 46 38  7  6  3  9  7 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 12  1 25 35  1 33 18  1 19  0  1 32  5 14 25 40  7 25 20 40 42  6 20  4
 0  0 35  0 35  7 35  7 42 14  7 42  0  0 42 14 21 28 14 21 28  7  7 14 14 28 42  0 35 42 21 14  7 35 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  0 14 14 14 14  7  0  7 35 21 42  7 28 35  7 14 21 14 21  0 28 35 28 21
 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 28  7 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  7 14 14 28  0 35 42 35  7 35 35 42  0 14 21 21 21  7 21 42  0  7  7 35

generates a code of length 83 over Z49 who´s minimum homogenous weight is 476.

Homogenous weight enumerator: w(x)=1x^0+750x^476+504x^477+126x^478+714x^480+1092x^481+3510x^483+4284x^484+1638x^485+1764x^487+1932x^488+5940x^490+7182x^491+2562x^492+3654x^494+3822x^495+7476x^497+15624x^498+5922x^499+5124x^501+4830x^502+8724x^504+13986x^505+4158x^506+3150x^508+2730x^509+4326x^511+1638x^512+132x^518+114x^525+108x^532+42x^539+42x^546+24x^553+6x^560+18x^567

The gray image is a code over GF(7) with n=581, k=6 and d=476.
This code was found by Heurico 1.16 in 11.2 seconds.