The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+166x^18+4x^19+819x^20+192x^21+2020x^22+1772x^23+6076x^24+5944x^25+11244x^26+8796x^27+11524x^28+5840x^29+6254x^30+1844x^31+2009x^32+184x^33+628x^34+169x^36+38x^38+10x^40+2x^42

The gray image is a code over GF(2) with n=108, k=16 and d=36.
This code was found by Heurico 1.16 in 43.3 seconds.