The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1 21 24  1  1  1  1  1  1  9  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 19 20 23  1  1  9  9 12 12 16  8  1  0
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9  0  9  9 18  0  9  0 18 18  0

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

Homogenous weight enumerator: w(x)=1x^0+192x^60+162x^61+144x^62+582x^63+162x^64+144x^65+552x^66+162x^67+36x^68+42x^69+6x^75+2x^81

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 0.0133 seconds.