The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^36+216x^38+324x^39+648x^40+432x^41+234x^42+108x^45+18x^48+2x^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 0.00813 seconds.