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  1  1  1  1  1  1  1  4  4  1  2  2  2  4  0  1  1  0  4  2  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  6  2  2  6  4  6  4  6  2  4  6  4  2  2  2  0  2  6  2  4  0  0  6  6  0  0  4  0  2  0  2  4  4  6  2  4  2  0  2  2  2  0  2  0
 0  0  2  0  0  0  0  0  0  0  2  0  2  6  2  6  4  6  6  6  2  6  6  2  4  2  6  4  0  6  6  4  2  0  0  6  0  4  2  6  4  4  2  2  2  4  2  0  2  0  6  0  2  4  0
 0  0  0  2  0  0  0  2  6  2  2  6  0  2  0  6  4  0  6  4  6  2  6  4  2  2  4  0  2  6  6  0  6  4  0  4  6  2  4  2  2  6  0  4  6  6  4  4  4  2  4  2  2  4  0
 0  0  0  0  2  0  2  2  2  4  4  0  4  4  4  4  4  2  6  2  6  6  2  2  6  0  6  6  4  4  6  0  4  0  4  6  0  2  0  4  4  4  4  6  0  6  6  6  0  2  2  4  2  0  6
 0  0  0  0  0  2  2  4  6  2  4  4  0  4  2  2  6  2  2  0  6  0  0  2  4  2  4  4  6  4  2  0  0  2  0  4  2  4  0  6  6  4  4  2  0  2  0  6  2  0  6  0  0  2  6
 0  0  0  0  0  0  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  0  4  4  0  4  4  4  4  4  4  0  4  4  4  4  4  4  4  0  4  4  0  0  0  4  4  4  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+128x^45+197x^46+258x^47+329x^48+450x^49+556x^50+738x^51+1140x^52+1570x^53+1778x^54+1942x^55+1977x^56+1510x^57+1045x^58+798x^59+545x^60+430x^61+291x^62+208x^63+156x^64+128x^65+94x^66+24x^67+20x^68+8x^69+6x^70+1x^72+1x^90

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 seconds.