The generator matrix

 1  0  1  1  1  1  1 18  1  1  1 21  1 24  1  1  3  1  1  1  1  1 24 12  1 18 21  1  1
 0  1  1 26 21 20 16  1 26  0 25  1 21  1 20 16  1 17 18 14  8  3  1  1 23  1  1  4  0
 0  0 24  0 18 18 15  3  6 24 21 15  6 24 15  9 21 12  3 21 18 12 18  6 18 18  6  0  0
 0  0  0  9  9  0 18  9 18  9  0 18  0  9  9 18  0  9  9 18 18  0  9  0 18 18  9 18 18

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

Homogenous weight enumerator: w(x)=1x^0+120x^51+228x^52+456x^53+1282x^54+1002x^55+1548x^56+3524x^57+2784x^58+2718x^59+3684x^60+1230x^61+570x^62+308x^63+78x^64+54x^65+56x^66+24x^67+12x^69+2x^72+2x^75

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 0.438 seconds.