The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^46+94x^47+170x^48+362x^49+515x^50+710x^51+928x^52+1252x^53+1501x^54+1690x^55+1818x^56+1682x^57+1599x^58+1298x^59+859x^60+686x^61+445x^62+256x^63+160x^64+108x^65+83x^66+48x^67+28x^68+6x^69+5x^70+2x^72+3x^74+1x^76+1x^80

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 9.66 seconds.