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

generates a code of length 76 over Z49 who´s minimum homogenous weight is 413.

Homogenous weight enumerator: w(x)=1x^0+180x^413+666x^420+1254x^427+1632x^434+1896x^441+2058x^444+1848x^448+24696x^451+1866x^455+74088x^458+1752x^462+1674x^469+1332x^476+1242x^483+762x^490+456x^497+174x^504+54x^511+12x^518+6x^525

The gray image is a code over GF(7) with n=532, k=6 and d=413.
This code was found by Heurico 1.16 in 17.2 seconds.