The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+223x^16+66x^18+725x^20+894x^22+3995x^24+2048x^25+6004x^26+4096x^27+7327x^28+2048x^29+2972x^30+1648x^32+298x^34+363x^36+6x^38+53x^40+1x^44

The gray image is a code over GF(2) with n=108, k=15 and d=32.
This code was found by Heurico 1.16 in 9.82 seconds.