The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^18+58x^19+203x^20+326x^21+435x^22+870x^23+1207x^24+1684x^25+2159x^26+2240x^27+2210x^28+1808x^29+1242x^30+872x^31+421x^32+268x^33+172x^34+54x^35+51x^36+10x^37+19x^38+2x^39+3x^40+3x^42

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 3.77 seconds.