The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^20+76x^21+153x^22+200x^23+318x^24+374x^25+496x^26+764x^27+512x^28+370x^29+326x^30+176x^31+135x^32+74x^33+48x^34+12x^35+6x^36+2x^37+1x^38+2x^40

The gray image is a code over GF(2) with n=108, k=12 and d=40.
This code was found by Heurico 1.16 in 0.279 seconds.