The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  4  1  0  1  1  1  1  1  2  1  1
 0  2  0  2  0  0  2  6  0  4  2  4  2  6  2  6  2  0  0  4  0  2  6  4  6  6  0
 0  0  2  2  0  6  2  0  4  2  2  2  2  0  2  6  6  4  2  2  0  4  2  0  0  0  0
 0  0  0  4  0  0  0  4  4  4  0  4  0  0  0  4  0  4  4  4  0  0  0  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  4  4  4  0  4  0  4  4  0  4  4  0  4  0  4  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  4  4  0  4  0  4  4  0  0  0  4  4  4  4  0
 0  0  0  0  0  0  4  4  4  4  4  4  0  0  4  0  0  4  0  0  4  4  0  0  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+20x^20+28x^21+78x^22+106x^23+90x^24+348x^25+83x^26+562x^27+74x^28+372x^29+66x^30+94x^31+57x^32+20x^33+28x^34+6x^35+10x^36+4x^40+1x^42

The gray image is a code over GF(2) with n=108, k=11 and d=40.
This code was found by Heurico 1.16 in 0.0763 seconds.