The generator matrix

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

generates a code of length 17 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+346x^27+1386x^30+1944x^32+2520x^33+5832x^34+3888x^35+2840x^36+864x^39+54x^42+8x^45

The gray image is a code over GF(3) with n=153, k=9 and d=81.
This code was found by Heurico 1.16 in 0.366 seconds.