The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1 21 24  1  1  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 19 20 23  1  1  9  9 12 12  0
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9  0  9  9 18  0  9  0

generates a code of length 29 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+252x^54+90x^56+792x^57+162x^58+36x^59+768x^60+36x^62+42x^63+6x^69+2x^81

The gray image is a code over GF(3) with n=261, k=7 and d=162.
This code was found by Heurico 1.16 in 0.0107 seconds.