The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+51x^20+90x^21+143x^22+142x^23+461x^24+184x^25+843x^26+184x^27+949x^28+212x^29+439x^30+136x^31+130x^32+56x^33+45x^34+16x^35+8x^36+2x^37+2x^38+2x^39

The gray image is a code over GF(2) with n=108, k=12 and d=40.
This code was found by Heurico 1.16 in 0.286 seconds.