The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3
 0  9  0  0  0  0  0  0  9  9  9  0  9
 0  0  9  0  0  0  0  9 18  9 18  0  9
 0  0  0  9  0  0  0 18 18  0  9 18  0
 0  0  0  0  9  0  0 18 18  9  0  9  0
 0  0  0  0  0  9  0 18 18 18  0  0  9
 0  0  0  0  0  0  9 18  9  9 18 18 18

generates a code of length 13 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+88x^15+172x^18+226x^21+1966x^24+13122x^26+3396x^27+412x^30+214x^33+76x^36+10x^39

The gray image is a code over GF(3) with n=117, k=9 and d=45.
This code was found by Heurico 1.16 in 0.186 seconds.