The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^18+78x^19+220x^20+308x^21+470x^22+674x^23+1171x^24+1782x^25+2159x^26+2454x^27+2183x^28+1862x^29+1166x^30+694x^31+451x^32+258x^33+216x^34+68x^35+68x^36+14x^37+12x^38+1x^40+1x^42+1x^44

The gray image is a code over GF(2) with n=108, k=14 and d=36.
This code was found by Heurico 1.16 in 4.05 seconds.