The generator matrix

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

generates a code of length 21 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+18x^39+24x^40+36x^41+588x^42+24x^43+18x^44+6x^45+6x^46+6x^48+2x^63

The gray image is a code over GF(3) with n=189, k=6 and d=117.
This code was found by Heurico 1.16 in 0.00306 seconds.