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

generates a code of length 74 over Z49 who´s minimum homogenous weight is 406.

Homogenous weight enumerator: w(x)=1x^0+456x^406+1248x^413+1368x^420+3024x^427+10986x^434+38052x^441+56274x^448+1872x^455+1452x^462+1272x^469+816x^476+522x^483+240x^490+54x^497+12x^504

The gray image is a code over GF(7) with n=518, k=6 and d=406.
This code was found by Heurico 1.16 in 17.4 seconds.