The generator matrix

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

generates a code of length 17 over Z27 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+274x^30+324x^32+374x^33+648x^35+456x^36+102x^39+4x^42+2x^45+2x^48

The gray image is a code over GF(3) with n=153, k=7 and d=90.
This code was found by Heurico 1.16 in 76.8 seconds.