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

generates a code of length 79 over Z49 who´s minimum homogenous weight is 467.

Homogenous weight enumerator: w(x)=1x^0+882x^467+186x^469+294x^474+96x^476+882x^481+12x^483+12x^490+24x^497+12x^504

The gray image is a code over GF(7) with n=553, k=4 and d=467.
This code was found by Heurico 1.16 in 3.41 seconds.