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

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

Homogenous weight enumerator: w(x)=1x^0+315x^44+758x^46+1341x^48+16x^49+1588x^50+336x^51+3002x^52+2080x^53+5126x^54+3360x^55+5407x^56+2000x^57+3074x^58+400x^59+1841x^60+1084x^62+671x^64+258x^66+90x^68+16x^70+3x^72+1x^96

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 87.9 seconds.