The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+67x^46+190x^47+376x^48+760x^49+899x^50+1564x^51+1977x^52+2438x^53+3157x^54+3126x^55+3567x^56+3334x^57+3024x^58+2642x^59+1956x^60+1482x^61+929x^62+604x^63+287x^64+170x^65+93x^66+58x^67+27x^68+8x^69+21x^70+8x^71+1x^72+2x^78

The gray image is a code over GF(2) with n=224, k=15 and d=92.
This code was found by Heurico 1.16 in 30.3 seconds.