The generator matrix

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

generates a code of length 18 over Z27 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+180x^32+78x^33+252x^34+252x^35+582x^36+378x^37+306x^38+48x^39+72x^41+18x^42+18x^43+2x^45

The gray image is a code over GF(3) with n=162, k=7 and d=96.
This code was found by Heurico 1.16 in 10.2 seconds.