The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  4  0  1  2  1  1  0  2  1  2  2  2
 0  2  0  2  0  0  2  6  0  4  6  2  4  0  2  2  4  0  6  2  4  2  2  2  2  6  2
 0  0  2  2  0  6  2  0  4  2  0  2  2  2  2  2  2  0  0  4  0  0  2  6  6  6  2
 0  0  0  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  0  0  4  0  4  4  0  4
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  0  4  0  4  4  0
 0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  4  4  0  4  4  4  0  0  0  4  4  4
 0  0  0  0  0  0  4  0  4  4  4  4  0  0  4  0  4  4  0  0  4  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  4  0  0  4  4  4  4  0  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+88x^20+20x^21+232x^22+92x^23+502x^24+228x^25+704x^26+332x^27+784x^28+252x^29+424x^30+84x^31+247x^32+12x^33+48x^34+4x^35+40x^36+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 0.294 seconds.