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  1  1  1  9  1  1  3  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 19  9 16 12 13 20  1  6 10 15  5
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  9  0  9  0 18 18  9  0  9 18

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

Homogenous weight enumerator: w(x)=1x^0+564x^57+174x^58+562x^60+306x^61+570x^63+6x^67+2x^69+2x^72

The gray image is a code over GF(3) with n=270, k=7 and d=171.
This code was found by Heurico 1.16 in 20.1 seconds.