The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+71x^18+92x^19+380x^20+594x^21+1949x^22+2320x^23+6400x^24+5500x^25+11678x^26+7460x^27+11712x^28+5664x^29+6370x^30+2332x^31+1931x^32+516x^33+395x^34+80x^35+52x^36+14x^37+17x^38+4x^39+4x^40

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 30.8 seconds.