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

generates a code of length 69 over Z49 who´s minimum homogenous weight is 392.

Homogenous weight enumerator: w(x)=1x^0+258x^392+558x^399+402x^406+2058x^408+324x^413+12348x^415+228x^420+180x^427+120x^434+132x^441+84x^448+30x^455+60x^462+18x^469+6x^476

The gray image is a code over GF(7) with n=483, k=5 and d=392.
This code was found by Heurico 1.16 in 0.359 seconds.