The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  0  1  3  1
 0  1  7 26 21  4 20  1 24 19 23  1 16  1 26  0  0
 0  0  9  0  0  0 18  9  9 18  9  9  0  0 18  9  0
 0  0  0  9  0  9  9  9 18  9  0  0  0  9 18  9  0
 0  0  0  0 18 18 18  0  9  0 18 18  9  9 18 18 18

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

Homogenous weight enumerator: w(x)=1x^0+152x^27+54x^28+1140x^30+324x^31+2916x^32+3924x^33+648x^34+5832x^35+3966x^36+432x^37+258x^39+18x^42+12x^45+6x^48

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 2.56 seconds.