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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+183x^44+498x^46+36x^47+1100x^48+140x^49+1748x^50+600x^51+2761x^52+1368x^53+3714x^54+1920x^55+4456x^56+2000x^57+3872x^58+1384x^59+2819x^60+552x^61+1758x^62+156x^63+998x^64+36x^65+396x^66+203x^68+46x^70+20x^72+2x^76+1x^96

The gray image is a code over GF(2) with n=224, k=15 and d=88.
This code was found by Heurico 1.16 in 50.1 seconds.