The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^20+440x^21+923x^22+1400x^23+2769x^24+3426x^25+4857x^26+4716x^27+5069x^28+3638x^29+2655x^30+1376x^31+874x^32+302x^33+139x^34+60x^35+15x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=108, k=15 and d=40.
This code was found by Heurico 1.16 in 9.55 seconds.