The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1  3  1  1
 0  1  7 26  4 21 20  1 24 19 21 19 10  0 26  8 20 18  6 11
 0  0  9  0 18 18  9  9  0 18  9  9  0 18 18  9  0 18  9 18

generates a code of length 20 over Z27 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+366x^37+276x^38+12x^39+672x^40+468x^41+10x^42+366x^43+2x^45+12x^47+2x^51

The gray image is a code over GF(3) with n=180, k=7 and d=111.
This code was found by Heurico 1.16 in 6.68 seconds.