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

generates a code of length 30 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+18x^57+162x^58+198x^60+324x^61+24x^63+2x^81

The gray image is a code over GF(3) with n=270, k=6 and d=171.
This code was found by Heurico 1.16 in 0.00817 seconds.