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

generates a code of length 55 over Z8 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+67x^46+121x^48+52x^50+76x^52+256x^53+203x^54+512x^55+210x^56+256x^57+92x^58+36x^60+85x^62+54x^64+13x^70+13x^72+1x^88

The gray image is a code over GF(2) with n=220, k=11 and d=92.
This code was found by Heurico 1.16 in 66.4 seconds.