The generator matrix

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

generates a code of length 17 over Z27 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+22x^30+30x^33+648x^34+8x^36+14x^39+4x^42+2x^51

The gray image is a code over GF(3) with n=153, k=6 and d=90.
This code was found by Heurico 1.16 in 0.00186 seconds.