The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+119x^16+4x^17+65x^18+495x^20+372x^21+863x^22+256x^23+3729x^24+2696x^25+6989x^26+1536x^27+7011x^28+2696x^29+3779x^30+256x^31+884x^32+372x^33+483x^34+45x^36+4x^37+93x^38+3x^40+15x^42+1x^44+1x^46

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 6.95 seconds.