The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1
 0  3 24  0 21 24  0 21 24  0  0  9 21  9 21 24  0
 0  0  9  0  0  0  0 18  9  9 18 18 18 18  0  0  0
 0  0  0  9  0  0  9 18 18  0  9 18 18  9 18  0  0
 0  0  0  0 18  0 18  9  0  9  9 18 18 18 18  0  9
 0  0  0  0  0  9 18 18  9 18  9  0  0 18  9 18  0

generates a code of length 17 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+94x^24+36x^26+174x^27+288x^29+346x^30+2808x^32+568x^33+8748x^34+5040x^35+442x^36+576x^38+454x^39+88x^42+4x^45+10x^48+6x^51

The gray image is a code over GF(3) with n=153, k=9 and d=72.
This code was found by Heurico 1.16 in 0.324 seconds.