The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  4  0  1  2  1  1  6  1  1  1  4  2  4  0  0  1
 0  1  0  1  6  3  1  4  0  3  3  1  1  5  2  4  1  4  3  5  4  1  1  1  1  1  0
 0  0  1  1  3  6  3  2  3  3  0  2  3  3  1  1  2  1  6  7  2  2  0  6  6  4  0
 0  0  0  4  0  0  0  0  0  4  0  4  4  4  4  4  4  4  0  0  4  4  4  0  0  4  0
 0  0  0  0  4  0  0  0  4  0  4  4  4  4  0  4  4  0  4  4  0  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  0  4  0  0  4  4  4  0  4  0  0  0
 0  0  0  0  0  0  4  4  4  4  0  4  0  4  0  4  0  4  4  0  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+28x^20+120x^21+225x^22+480x^23+510x^24+1012x^25+1076x^26+1356x^27+952x^28+1072x^29+566x^30+456x^31+159x^32+100x^33+52x^34+12x^35+12x^36+1x^38+2x^40

The gray image is a code over GF(2) with n=108, k=13 and d=40.
This code was found by Heurico 1.16 in 0.615 seconds.