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

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

Homogenous weight enumerator: w(x)=1x^0+83x^44+62x^45+148x^46+182x^47+296x^48+366x^49+442x^50+620x^51+743x^52+808x^53+765x^54+824x^55+635x^56+648x^57+517x^58+372x^59+218x^60+138x^61+130x^62+50x^63+57x^64+26x^65+32x^66+11x^68+13x^70+3x^72+1x^74+1x^76

The gray image is a code over GF(2) with n=216, k=13 and d=88.
This code was found by Heurico 1.16 in 3.64 seconds.