The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  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  7  1  1 35 35 14  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31  1 16 19 48  4 36  7 38 26  9  6 46  9  6 46  7 13 18 40 21 12 18  2 21 30 26 34 42 30 39 40 34  1 29 29  1 38 17  1  1  1  3 22 22  8
 0  0 35 21 42  7 14 21  7 28 14  7 35  0  0 28 42 14 42 28  7 35  7 21 21 35 42 28  0 14 21 35 42 14 35 28 42 14 28  0 21  7 42 35  7 14 21 35  0 14 42 28  7 28 42 35

generates a code of length 56 over Z49 who´s minimum homogenous weight is 328.

Homogenous weight enumerator: w(x)=1x^0+630x^328+5400x^329+1050x^330+504x^335+1860x^336+252x^337+924x^342+5412x^343+756x^344+18x^350

The gray image is a code over GF(7) with n=392, k=5 and d=328.
This code was found by Heurico 1.16 in 35.9 seconds.