The generator matrix

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

generates a code of length 21 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+306x^36+162x^38+390x^39+486x^40+648x^41+2142x^42+972x^43+648x^44+648x^45+132x^48+26x^54

The gray image is a code over GF(3) with n=189, k=8 and d=108.
This code was found by Heurico 1.16 in 40.1 seconds.