The generator matrix

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

generates a code of length 30 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+48x^49+178x^51+360x^52+260x^54+588x^55+486x^56+312x^57+3786x^58+1944x^59+654x^60+6978x^61+1944x^62+468x^63+924x^64+120x^66+378x^67+126x^69+60x^70+54x^72+14x^78

The gray image is a code over GF(3) with n=270, k=9 and d=147.
This code was found by Heurico 1.16 in 97.6 seconds.