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  1  1  1  1  1  0  4  0  4  0  2  4  2  0  1  0  4  2  0  2  4  1  0  1  0  2  4  1  1
 0  2  0  0  0  0  0  0  0  2  2  6  2  2  4  4  0  2  0  2  4  4  2  4  6  4  4  2  6  2  6  0  2  2  0  2  0  0  4  4  2  4  2  2  2  2  0  2  6  2  6  2  0  4  6  0
 0  0  2  0  0  0  2  6  2  4  2  2  0  2  4  6  4  6  0  0  6  2  6  4  0  0  2  6  6  0  0  4  2  2  0  4  2  0  4  0  6  2  4  0  2  4  2  4  4  2  6  4  6  2  0  0
 0  0  0  2  0  2  2  2  4  4  4  4  6  2  6  2  0  2  4  6  0  4  4  6  2  0  6  2  2  0  0  0  0  2  4  0  4  6  2  0  6  6  2  4  6  6  0  6  6  6  0  2  6  0  0  0
 0  0  0  0  2  2  0  2  6  2  0  2  4  2  6  0  4  0  2  2  4  6  4  0  0  2  4  0  6  2  6  6  6  2  2  6  2  4  6  6  4  6  6  2  4  2  4  6  0  4  0  4  2  6  4  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  0  0  0  4  4  4  0  0  0  4  4  4  0  4  4  4  0  4  0  4  4  0  0  4  4  4  4  4  0  4  4  0  0  0  4
 0  0  0  0  0  0  4  4  0  0  0  0  0  0  4  0  4  4  4  4  0  4  4  4  4  4  4  0  4  4  0  0  4  0  0  4  0  4  4  0  4  0  0  0  0  0  4  4  0  0  4  0  4  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+54x^46+84x^47+139x^48+220x^49+333x^50+412x^51+498x^52+588x^53+692x^54+766x^55+716x^56+808x^57+642x^58+558x^59+537x^60+344x^61+261x^62+186x^63+123x^64+64x^65+60x^66+38x^67+33x^68+20x^69+5x^70+4x^71+1x^72+4x^73+1x^74

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 3.53 seconds.