The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+91x^48+412x^49+670x^50+816x^51+1132x^52+1280x^53+1529x^54+1600x^55+1580x^56+1580x^57+1363x^58+1372x^59+1009x^60+728x^61+557x^62+296x^63+199x^64+96x^65+35x^66+12x^67+15x^68+6x^70+5x^72

The gray image is a code over GF(2) with n=224, k=14 and d=96.
This code was found by Heurico 1.16 in 7.28 seconds.