The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^44+114x^45+172x^46+314x^47+553x^48+758x^49+910x^50+1248x^51+1649x^52+1626x^53+1670x^54+1758x^55+1424x^56+1322x^57+1077x^58+586x^59+416x^60+300x^61+164x^62+112x^63+62x^64+40x^65+36x^66+14x^67+7x^68+2x^70+1x^74

The gray image is a code over GF(2) with n=216, k=14 and d=88.
This code was found by Heurico 1.16 in 9.06 seconds.