The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  9  9  9  9  9 18 18  0
 0  0  9  0  0  0  0  0  9  9 18 18 18  9  9  0  0  9
 0  0  0  9  0  0  0  9 18 18 18 18  0  0  9  0  9  9
 0  0  0  0  9  0  0 18 18  9 18  0  9  0  9  9  9 18
 0  0  0  0  0  9  0 18  9 18  0 18  9  0  0  9 18 18
 0  0  0  0  0  0  9  9  0  9  9 18  9 18  0  9 18  0

generates a code of length 18 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+108x^24+162x^27+226x^30+358x^33+1458x^34+13504x^36+2916x^37+466x^39+274x^42+130x^45+64x^48+16x^51

The gray image is a code over GF(3) with n=162, k=9 and d=72.
This code was found by Heurico 1.16 in 0.443 seconds.