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

generates a code of length 63 over Z49 who´s minimum homogenous weight is 357.

Homogenous weight enumerator: w(x)=1x^0+330x^357+480x^364+402x^371+2058x^372+378x^378+12348x^379+246x^385+174x^392+126x^399+78x^406+78x^413+48x^420+42x^427+12x^434+6x^441

The gray image is a code over GF(7) with n=441, k=5 and d=357.
This code was found by Heurico 1.16 in 0.314 seconds.