The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  3
 0  3 24  0 21 24 21  6  0  9  0  9 21  9 21 12  9 24 15 21
 0  0  9  0  9  0 18 18  9 18  9 18 18  9 18  0  0  0  0 18
 0  0  0  9 18  9  9 18 18 18  0  9 18 18 18 18  9  0 18 18

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

Homogenous weight enumerator: w(x)=1x^0+406x^36+120x^39+972x^40+576x^42+100x^45+6x^48+6x^54

The gray image is a code over GF(3) with n=180, k=7 and d=108.
This code was found by Heurico 1.16 in 0.268 seconds.