The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^20+222x^21+407x^22+908x^23+1191x^24+2034x^25+1891x^26+2848x^27+1967x^28+2146x^29+1209x^30+828x^31+348x^32+206x^33+73x^34+24x^35+11x^36+4x^38

The gray image is a code over GF(2) with n=108, k=14 and d=40.
This code was found by Heurico 1.16 in 2.68 seconds.