The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0 20  4 20 19  1 23 21 24 23 20 23 16  4  5  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  9 18  9 18  0  0  0  9 18  9  9  0 18 18 18  9  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9 18 18  9  0  9  0 18  9  0  0  0  9 18 18  9
 0  0  0  0 18 18  0 18 18  9 18 18  9  0  9  0  9  9  9  9  0  0 18 18 18 18 18  0  0 18

generates a code of length 30 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+16x^51+48x^52+186x^53+218x^54+264x^55+1242x^56+1020x^57+1650x^58+3888x^59+1982x^60+2868x^61+4020x^62+1326x^63+492x^64+324x^65+20x^66+24x^67+54x^68+8x^69+6x^71+12x^72+2x^75+10x^78+2x^84

The gray image is a code over GF(3) with n=270, k=9 and d=153.
This code was found by Heurico 1.16 in 0.438 seconds.