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

generates a code of length 74 over Z49 who´s minimum homogenous weight is 420.

Homogenous weight enumerator: w(x)=1x^0+180x^420+438x^427+504x^434+372x^441+14406x^444+222x^448+204x^455+132x^462+84x^469+102x^476+60x^483+60x^490+30x^497+6x^504+6x^518

The gray image is a code over GF(7) with n=518, k=5 and d=420.
This code was found by Heurico 1.16 in 0.398 seconds.