The generator matrix

 1  0  1  1  1  0  1  1  2  1  6  1  1  1  0  1  1  4  2  1  1  6  1  1  1  1  1  0  1  1  2  1  1  1  1  0  1  6  1  4  1  1  2  4  0  1  6  1  0  2  1  0  2  2  1
 0  1  1  0  3  1  2  3  1  6  1  5  0  3  1  4  7  1  1  6  1  1  5  2  4  0  0  1  0  1  1  2  4  7  7  1  3  1  0  2  5  3  1  1  1  6  1  7  1  2  2  0  2  0  0
 0  0  2  6  0  6  2  6  2  0  4  0  4  0  0  2  6  6  2  4  2  4  0  2  2  0  4  0  0  2  6  6  6  2  6  0  4  0  6  2  4  0  6  2  0  4  4  6  2  2  6  2  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  4  4  4  0  4  0  4  0  4  4  0  4  4  4  4  4  0  4  0  4  4  0  0  4  4  0  0  0  0  0  0  4  4  4  4  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  0  0  0  0  4  4  4  4  0  4  4  4  0  0  0  4  0  4  0  4  4  0  4  0  0  0  0  0  4  4  4  4  0  4  0  0  4  4  0  4  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  4  0  4  4  4  4  0  0  4  4  0  4  0  0  0  0  4  4  0  0  0  0  0  4  4  4  0  4  0  0  4  0  4  0  4  4  0  4  0  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  4  0  4  0  4  0  4  4  4  0  4  4  0  0  4  0  0  4  4  0  4  0  0  4  0  0  4  4  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  4  0  4  4  0  4  4  0  4  4  4  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  4  0  4  0  0  4  0  0  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  4  4  4  0  0  4  0  4  0  4  0  0  4  0  4  0  0  4  0  4  0  4  4  4  4  4  4  0  4  0  0  4  4  4  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+55x^44+56x^45+117x^46+148x^47+444x^48+416x^49+891x^50+716x^51+1557x^52+1080x^53+2057x^54+1286x^55+2111x^56+1108x^57+1599x^58+780x^59+802x^60+348x^61+387x^62+132x^63+109x^64+60x^65+53x^66+8x^67+33x^68+4x^69+15x^70+2x^71+7x^72+1x^74+1x^76

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 9.36 seconds.