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

generates a code of length 67 over Z49 who´s minimum homogenous weight is 378.

Homogenous weight enumerator: w(x)=1x^0+144x^378+480x^385+468x^392+2058x^396+378x^399+12348x^403+246x^406+180x^413+162x^420+126x^427+78x^434+60x^441+36x^448+30x^455+12x^462

The gray image is a code over GF(7) with n=469, k=5 and d=378.
This code was found by Heurico 1.16 in 0.346 seconds.