The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^20+94x^21+185x^22+434x^23+445x^24+1240x^25+868x^26+1614x^27+882x^28+1208x^29+446x^30+430x^31+159x^32+80x^33+36x^34+18x^35+10x^36+2x^37+1x^38+3x^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 0.811 seconds.