The generator matrix

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

generates a code of length 55 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+141x^44+16x^45+419x^46+208x^47+857x^48+792x^49+1502x^50+1800x^51+2345x^52+3400x^53+3011x^54+4008x^55+2857x^56+3224x^57+2311x^58+2008x^59+1593x^60+712x^61+797x^62+168x^63+350x^64+48x^65+128x^66+40x^68+21x^70+7x^72+3x^74+1x^84

The gray image is a code over GF(2) with n=220, k=15 and d=88.
This code was found by Heurico 1.16 in 35.1 seconds.