The generator matrix

 1  0  1  1  1  1  1 18  3  1  1  1  1 21  3 21  1
 0  1  1 26 21 17 16  1  1  0  1  3 22  1  3  1 12
 0  0 24  0 18 21 18 21  3 15  3 21  3 15  3 18 18
 0  0  0  9 18 18  0 18  0 18 18  9  9  0 18 18  9

generates a code of length 17 over Z27 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+198x^28+138x^29+922x^30+1020x^31+1770x^32+2970x^33+4716x^34+3204x^35+3042x^36+1296x^37+204x^38+98x^39+60x^40+30x^41+12x^42+2x^45

The gray image is a code over GF(3) with n=153, k=9 and d=84.
This code was found by Heurico 1.16 in 0.212 seconds.