The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^18+132x^19+436x^20+740x^21+1762x^22+2900x^23+5588x^24+6332x^25+10535x^26+8356x^27+10620x^28+6540x^29+5716x^30+2828x^31+1719x^32+708x^33+339x^34+120x^35+64x^36+16x^37+26x^38+4x^40+1x^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 32.9 seconds.