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

generates a code of length 56 over Z49 who´s minimum homogenous weight is 301.

Homogenous weight enumerator: w(x)=1x^0+486x^301+1158x^308+1644x^315+2004x^322+2034x^329+14406x^330+2250x^336+86436x^337+1962x^343+1992x^350+1716x^357+954x^364+486x^371+96x^378+24x^385

The gray image is a code over GF(7) with n=392, k=6 and d=301.
This code was found by Heurico 1.16 in 12.4 seconds.