The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+74x^20+104x^21+287x^22+394x^23+576x^24+920x^25+1130x^26+1262x^27+1066x^28+920x^29+620x^30+406x^31+259x^32+72x^33+73x^34+18x^35+8x^36+1x^38+1x^50

The gray image is a code over GF(2) with n=108, k=13 and d=40.
This code was found by Heurico 1.16 in 0.821 seconds.