The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^20+416x^22+712x^24+384x^25+1744x^26+1280x^27+1774x^28+384x^29+676x^30+430x^32+168x^34+20x^36+4x^38+1x^48

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 1.25 seconds.