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

generates a code of length 77 over Z49 who´s minimum homogenous weight is 441.

Homogenous weight enumerator: w(x)=1x^0+348x^441+546x^448+414x^455+2058x^456+288x^462+12348x^463+228x^469+150x^476+144x^483+60x^490+72x^497+60x^504+60x^511+12x^518+18x^532

The gray image is a code over GF(7) with n=539, k=5 and d=441.
This code was found by Heurico 1.16 in 0.418 seconds.