The generator matrix

 1  0  0  0  1  1  1  6  6  1  1  2  1  0  1  4  2  1  1  1  1  2  4  1  1  2  1  2  6  2  2  1  0  4  1  0  4  1  1  1  1  1  6  6  1  1  1  2  1  4  1  0  1  1
 0  1  0  0  0  1  1  1  1  6  7  1  0  6  1  1  1  2  3  5  7  0  1  4  1  0  2  1  6  6  0  5  1  1  3  1  0  2  0  7  2  2  1  1  4  4  2  1  3  4  0  1  7  0
 0  0  1  0  1  1  0  1  4  0  0  3  5  1  1  2  1  4  2  7  1  1  7  3  4  2  5  6  1  2  1  1  6  1  0  0  1  4  0  7  0  2  5  5  6  7  7  6  4  1  4  7  1  0
 0  0  0  1  1  0  1  1  7  3  2  2  6  5  3  2  3  4  5  0  1  6  2  4  2  1  7  3  5  1  1  5  5  0  4  1  0  1  1  1  2  6  3  0  0  0  1  4  5  5  3  2  4  0
 0  0  0  0  4  0  0  0  0  0  0  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  4  4  4  4  4  0  4  4  4  0  0  0  4  0  4
 0  0  0  0  0  4  0  0  0  4  4  4  4  4  0  4  0  4  4  0  4  0  4  4  0  0  0  4  4  0  4  4  4  0  4  0  4  0  4  0  4  4  0  4  0  0  4  0  0  0  0  4  4  4
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  0  0  4  4  0  4  4  4  0  4  4  0  0  0  4  4  0  4  4  0  0  0  4  4  4  0  0  4  0  4  4  0  4  4  0  0  4  4  4  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  0  4  0  4  0  0  4  0  4  0  0  0  4  4  0  0  4  4  4  4  0  4  0

generates a code of length 54 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+98x^44+330x^45+808x^46+1346x^47+2015x^48+2894x^49+3984x^50+5072x^51+5955x^52+6694x^53+6886x^54+6722x^55+6224x^56+5278x^57+4041x^58+2926x^59+1900x^60+1096x^61+632x^62+308x^63+183x^64+92x^65+30x^66+10x^67+7x^68+2x^70+1x^74+1x^80

The gray image is a code over GF(2) with n=216, k=16 and d=88.
This code was found by Heurico 1.16 in 99.1 seconds.