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  2  0  2  2  2  4  1  4  2  0  1  4  1  2  1  1  4  1  2  1  2  4  1  2  2  1
 0  2  0  0  0  2  6  2  0  4  0  2  0  6  2  4  2  0  2  4  0  2  4  4  4  0  2  2  2  6  6  2  2  2  6  2  6  4  4  0  2  2  6  6  6  0  2  0  0  4  0  2  4  0  4  4
 0  0  2  0  2  2  6  0  0  0  2  4  2  2  4  6  2  4  0  4  2  6  0  2  0  6  6  0  6  2  0  4  6  6  2  2  0  2  2  4  6  6  4  0  0  2  4  6  6  4  6  4  4  6  2  0
 0  0  0  2  2  0  6  2  0  2  4  0  6  2  2  4  0  2  6  4  2  6  4  0  2  6  2  6  0  0  4  0  4  0  2  4  0  6  4  2  6  0  4  6  4  0  2  2  0  2  6  0  0  2  0  2
 0  0  0  0  4  0  0  0  4  4  4  0  0  0  0  0  0  0  0  4  4  4  0  4  4  0  4  0  0  4  4  0  0  4  0  0  4  0  4  4  0  0  4  4  4  0  4  0  4  4  4  0  0  4  4  0
 0  0  0  0  0  4  0  0  4  0  4  4  4  4  0  4  0  0  0  0  0  4  4  0  0  4  0  0  4  0  4  4  0  4  4  4  0  0  4  4  0  0  4  0  0  0  0  0  0  4  4  0  4  4  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  0  0  0  0  4  4  4  0  4  0  0  4  0  4  4  4  0  0  4  0  4  4  4  0  4  0  0  0  4  0  0  4  0  4  4  4  4  4  0  4  4  0  4  0
 0  0  0  0  0  0  0  4  4  4  0  4  0  0  0  0  4  0  4  0  4  4  4  0  4  4  4  0  4  0  0  0  0  4  0  4  0  0  0  4  4  4  4  0  4  4  4  0  0  4  0  0  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+59x^46+76x^47+158x^48+232x^49+288x^50+360x^51+491x^52+598x^53+680x^54+798x^55+781x^56+770x^57+707x^58+638x^59+446x^60+358x^61+236x^62+142x^63+143x^64+78x^65+66x^66+34x^67+23x^68+12x^69+8x^70+5x^72+3x^74+1x^78

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 3.59 seconds.