The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  3
 0  3  0 21  9  3 24 15 24  0 12 15 24 12  9 24  0
 0  0  3  6 15  3  0 21 24  9 18  9  6  3  3 12  0
 0  0  0  9  0 18  9 18  0 18 18  0 18  0 18  9  9

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

Homogenous weight enumerator: w(x)=1x^0+132x^28+180x^29+44x^30+180x^31+786x^32+94x^33+3204x^34+1206x^35+88x^36+300x^37+180x^38+4x^39+72x^40+78x^41+8x^42+4x^45

The gray image is a code over GF(3) with n=153, k=8 and d=84.
This code was found by Heurico 1.16 in 3.73 seconds.