The generator matrix

 1  0  0  1  1  1  2  4  1  1  1  0  0  1  2  1  1  0  1  4  1  1  2  1  4  0  1
 0  1  0  1  0  3  1  2  2  2  1  1  1  7  4  4  5  1  7  1  6  4  0  2  1  1  0
 0  0  1  1  1  0  1  1  0  3  1  2  1  0  1  3  2  4  1  5  0  1  1  4  7  5  0
 0  0  0  2  0  6  4  6  0  2  2  2  6  0  4  6  6  0  4  0  4  6  0  2  6  0  0
 0  0  0  0  2  0  4  6  6  0  6  4  4  2  2  4  2  2  0  0  6  6  0  4  2  6  0
 0  0  0  0  0  4  4  4  4  4  4  0  4  0  4  4  0  4  0  4  4  0  0  0  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+104x^20+204x^21+485x^22+828x^23+1254x^24+1828x^25+2252x^26+2472x^27+2252x^28+1828x^29+1254x^30+828x^31+485x^32+204x^33+104x^34+1x^54

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 2.74 seconds.