The generator matrix

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

generates a code of length 32 over Z27 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+284x^60+428x^63+972x^64+360x^66+92x^69+46x^72+2x^78+2x^90

The gray image is a code over GF(3) with n=288, k=7 and d=180.
This code was found by Heurico 1.16 in 32.8 seconds.