The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  0  1  2  1  0  2  0  2  1  4  1  4  1  1  2  2  1  0  4  2  1  1  2  1  1  0  2
 0  2  0  2  0  0  2  6  0  4  2  0  6  4  6  6  0  4  2  4  2  0  6  6  2  6  4  0  6  2  0  6  0  0  0  4  2  0  2  4  2  6  4  6  6  0  2  2  2  2  4  2  2  0  4  6
 0  0  2  2  0  6  2  0  0  2  2  4  4  6  2  0  4  2  2  6  0  0  4  2  0  2  0  6  0  0  2  0  0  2  6  2  2  4  2  2  6  4  6  4  0  2  4  2  6  6  6  4  4  6  2  4
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  4  4  4  0  4  0  4  0  0  0  0  4  4  0  4  0  4  4  0  4  0  4  0  0  4  4  0  0  0  4  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  4  4  0  0  0  4  4  0  4  0  0  4  4  4  4  4  4  0  0  4  4  0  0  4  4  0  0  4  0  4  0  0  0  4  0  4  4  0  4  4  0
 0  0  0  0  0  4  0  0  0  4  0  0  0  0  0  4  4  4  4  4  0  4  0  4  4  0  0  0  4  4  0  4  0  0  0  4  4  4  0  0  0  4  0  0  4  0  4  0  0  0  4  4  0  0  4  4
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  0  4  4  4  4  0  4  4  0  0  4  4  4  4  0  0  0  0  4  0  0  0  4  0  4  4  4  4  0  0  0  4  0  0  0  4  0  0  4  0  4  4
 0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  4  4  0  4  4  0  0  4  4  4  0  4  4  4  0  4  0  0  4  4  0  0  0  0  0  4  4  4  0  4  4  0  4  4  0  0  0  0  0  4  4
 0  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  4  4  4  0  0  0  4  4  0  0  4  4  0  4  0  4  0  4  0  4  0  4  4  0  4  4  4  4  0  4  4  4  4  4  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+106x^46+12x^47+272x^48+48x^49+449x^50+168x^51+696x^52+360x^53+996x^54+448x^55+1175x^56+424x^57+1005x^58+344x^59+665x^60+184x^61+382x^62+52x^63+209x^64+8x^65+111x^66+46x^68+20x^70+7x^72+3x^74+1x^76

The gray image is a code over GF(2) with n=224, k=13 and d=92.
This code was found by Heurico 1.16 in 3.96 seconds.