The generator matrix

 1  0  0  1  1  1 15  1  1  1  1  1  1  1 21  1 21  1  1  1 24  1  1  0  1 18 18 24  1
 0  1  0 15  1 16  1  0 17 14 26 24  4 20  1 22  1 16 10 24 15 26 18 15  2  9  1  1 21
 0  0  1 25  1 14 16 26 21 16 26  8  5 14 18 21 17 18  4  6  1 24  1  1 25  1  2 10  9
 0  0  0 18 18 18  0  9  0  9 18  0  0  9  9  9 18  0  9  9 18  9  0  9  0 18  0  9 18

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

Homogenous weight enumerator: w(x)=1x^0+346x^51+474x^52+2250x^53+3316x^54+2664x^55+7092x^56+7928x^57+6480x^58+12198x^59+8102x^60+3414x^61+3168x^62+1378x^63+72x^64+72x^65+68x^66+18x^67+6x^68+2x^75

The gray image is a code over GF(3) with n=261, k=10 and d=153.
This code was found by Heurico 1.16 in 2.84 seconds.