The generator matrix

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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+48x^57+162x^58+26x^60+2x^63+4x^69

The gray image is a code over GF(3) with n=261, k=5 and d=171.
This code was found by Heurico 1.16 in 0.00452 seconds.