The generator matrix

 1  0  0  1  1  1  6  1  2  1  6  1  0  1  1  4  1  1  6  1  2  1  1  1  0  1  1  0  1  6  1  1  1  1  1  1  1  6  4  1  2  2  1  1  2  6  1  0  1  1  0  0  1  4  2  6
 0  1  0  0  1  3  1  4  1  5  1  0  0  1  1  1  3  2  1  6  2  2  3  7  1  3  4  1  3  1  5  2  7  5  3  4  1  1  1  4  1  1  6  6  1  1  0  1  4  0  0  1  5  1  4  1
 0  0  1  1  1  0  1  3  7  7  4  0  1  0  4  0  7  4  1  7  1  7  6  3  4  2  2  7  5  6  3  6  5  2  0  7  2  3  6  3  3  7  0  0  4  3  2  4  1  0  1  2  6  1  6  4
 0  0  0  2  0  0  4  0  2  6  2  2  2  4  6  6  4  4  2  0  2  2  6  2  0  4  6  4  4  0  4  2  2  6  6  4  4  4  6  0  6  2  0  4  0  0  0  2  6  4  4  4  2  0  6  4
 0  0  0  0  2  4  2  6  0  0  6  6  2  6  4  0  4  2  2  4  4  6  6  2  6  2  0  4  6  0  0  2  6  6  0  6  4  6  0  4  6  2  2  0  4  2  2  2  2  4  0  2  2  6  6  2

generates a code of length 56 over Z8 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+176x^49+336x^50+446x^51+640x^52+696x^53+738x^54+746x^55+852x^56+766x^57+644x^58+670x^59+482x^60+402x^61+252x^62+142x^63+97x^64+34x^65+36x^66+12x^67+6x^68+6x^69+10x^70+2x^72

The gray image is a code over GF(2) with n=224, k=13 and d=98.
This code was found by Heurico 1.16 in 2.2 seconds.