The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  2  1  2  1  1  0  1  0  1  1  0  1  1  1  1
 0  2  0  0  0  2  6  2  0  0  4  4  2  4  2  4  2  0  6  0  6  0  2  2  6  0  0
 0  0  2  0  2  2  6  0  0  2  0  2  6  6  4  4  6  2  4  4  2  6  4  2  2  0  0
 0  0  0  2  2  0  6  2  0  6  2  0  4  0  2  6  4  4  2  2  0  4  0  6  2  0  0
 0  0  0  0  4  0  0  0  4  4  4  4  4  0  4  0  0  0  4  0  0  4  0  4  0  0  0
 0  0  0  0  0  4  0  0  4  4  0  4  4  4  0  4  4  0  4  0  4  0  0  0  4  0  0
 0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  4  0  0  4  4  4  4  4  4  4  0
 0  0  0  0  0  0  0  4  4  4  0  0  4  4  4  0  4  4  4  4  0  0  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+37x^18+201x^20+403x^22+128x^23+845x^24+512x^25+1556x^26+768x^27+1594x^28+512x^29+926x^30+128x^31+381x^32+133x^34+45x^36+15x^38+5x^40+2x^42

The gray image is a code over GF(2) with n=108, k=13 and d=36.
This code was found by Heurico 1.16 in 1.01 seconds.