The generator matrix

 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  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  1  1  7  1  1  7  1  1  7  1  1  1
 0  7  0  0  7  7 28 14 21  0  7 21 21 21 35 14 14  7 28 14 21 28  0  0 28  7  7 21  0 28 42 28  0 42 28 21 21 42  7 14 14  0 21 28 35 21 14  7 28 14  7 14 42  0 28 42 35 35  0 21  7 14  0 28 28 14  7 28  0  0  7 14  7 14 21  7  7  0  7 42 14  7
 0  0  7  0 35 28 21 35 42 21 21 21 35 35 28  0  0 21  7 28 14  7  7 35  0  7  7  7 35  0 35 14 28 28 21 28 14  7 28  7 28  0 21 14 14 14 42  0 14 35 35 42  0 21  7 42 35 14 42 42  7 28 28 21 28 14 21  0 14 14 28 14 28 28 35 42  0 35 21  0 35 28
 0  0  0  7 35  7 14 42 42 28  7  0 14 42 42 35  7 14 35  7  7 21 14 28 35 35 14  0 35 28 14 28 21 42  7 21 14 42 14 42 35 14 21 21  7 42 35 35 42 21 42 42  0 21 14 21  7 21 35  7  0 28 14 35 28  7  0 21 35  0 28 14 42 21  0 14  7 21 14 21  7 35

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

Homogenous weight enumerator: w(x)=1x^0+210x^469+42x^474+552x^476+756x^481+456x^483+4536x^488+342x^490+9072x^495+210x^497+162x^504+108x^511+96x^518+84x^525+60x^532+72x^539+18x^546+24x^553+6x^560

The gray image is a code over GF(7) with n=574, k=5 and d=469.
This code was found by Heurico 1.16 in 0.464 seconds.