The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+268x^20+312x^21+1042x^22+1220x^23+2855x^24+3380x^25+4918x^26+4552x^27+5287x^28+3296x^29+2800x^30+1300x^31+999x^32+244x^33+230x^34+32x^35+29x^36+2x^38+1x^48

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 10.7 seconds.