The generator matrix

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

generates a code of length 29 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+226x^51+324x^52+1228x^54+1944x^55+486x^56+3748x^57+3888x^58+972x^59+3840x^60+2592x^61+338x^63+64x^66+18x^69+8x^72+4x^75+2x^78

The gray image is a code over GF(3) with n=261, k=9 and d=153.
This code was found by Heurico 1.16 in 38.6 seconds.