The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+42x^45+94x^46+558x^47+832x^48+1500x^49+2182x^50+3022x^51+3886x^52+4550x^53+5848x^54+6476x^55+6823x^56+6730x^57+6253x^58+5188x^59+4031x^60+2844x^61+1935x^62+1210x^63+632x^64+490x^65+185x^66+118x^67+47x^68+36x^69+15x^70+4x^71+4x^72

The gray image is a code over GF(2) with n=224, k=16 and d=90.
This code was found by Heurico 1.16 in 98.9 seconds.