The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^46+110x^47+203x^48+352x^49+635x^50+774x^51+874x^52+1316x^53+1456x^54+1540x^55+1784x^56+1674x^57+1484x^58+1158x^59+1000x^60+822x^61+443x^62+284x^63+168x^64+118x^65+68x^66+36x^67+34x^68+6x^69+5x^70+2x^71+5x^74

The gray image is a code over GF(2) with n=224, k=14 and d=92.
This code was found by Heurico 1.16 in 9.53 seconds.