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

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

Homogenous weight enumerator: w(x)=1x^0+134x^44+368x^46+4x^47+731x^48+128x^49+950x^50+352x^51+1723x^52+1152x^53+2192x^54+840x^55+2348x^56+1152x^57+1708x^58+320x^59+1065x^60+128x^61+512x^62+20x^63+335x^64+142x^66+53x^68+16x^70+8x^72+1x^76+1x^80

The gray image is a code over GF(2) with n=220, k=14 and d=88.
This code was found by Heurico 1.16 in 13.3 seconds.