The generator matrix

 1  0  1  1  1  1  1  1 24  1  1 24  1  1  1  1 21  1  1  0
 0  1  1 26 18 17  0 16  1 20 22  1  4 20  5 15  1 21 25  1
 0  0 24  9 21 12  6 15  9  9  3 15 24  6  0 12  9  0  3  6

generates a code of length 20 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+498x^36+162x^37+810x^38+1566x^39+162x^40+1620x^41+1476x^42+162x^43+66x^45+36x^48+2x^54

The gray image is a code over GF(3) with n=180, k=8 and d=108.
This code was found by Heurico 1.16 in 0.0308 seconds.