The generator matrix

 1  0  0  0  0  1  1  1  1  2  1  1  1  4  4  6  2  1  4  0  1  1  1  1  1  0  0
 0  1  0  0  0  0  1  3  3  1  4  5  7  2  1  1  6  4  1  1  5  2  5  3  2  1  1
 0  0  1  0  0  0  4  0  4  4  1  5  5  1  6  6  1  2  1  5  1  7  3  2  2  5  4
 0  0  0  1  0  1  0  4  3  3  1  2  7  1  6  5  2  0  0  4  2  2  3  1  7  6  1
 0  0  0  0  1  1  3  2  0  1  6  1  3  2  3  0  7  5  1  4  6  1  2  5  4  4  0
 0  0  0  0  0  4  4  0  4  0  0  0  0  4  0  4  0  0  0  4  4  4  4  4  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+288x^20+716x^21+1898x^22+3012x^23+5478x^24+6732x^25+9610x^26+9488x^27+9998x^28+7320x^29+5506x^30+2852x^31+1657x^32+524x^33+326x^34+72x^35+50x^36+4x^37+4x^38

The gray image is a code over GF(2) with n=108, k=16 and d=40.
This code was found by Heurico 1.11 in 16.6 seconds.