The generator matrix

 1  0  1  1  1  1  1  1 24  1  1 24  1 21  1  1  3  1  1  1 12  0  1  1  3  6  3  1 18
 0  1  1 26 18 17  0 16  1 20 22  1  4  1  4 24  1  7 23 21  1  1 16 14  1  1  1 10  1
 0  0 24  9 21 12  6 15  9  9  3 15 18  9 15  6  3  3 18 24  0  3 18 12 15  9 21 12 21

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

Homogenous weight enumerator: w(x)=1x^0+650x^54+450x^55+540x^56+1416x^57+558x^58+864x^59+1368x^60+450x^61+54x^62+144x^63+42x^66+18x^69+6x^72

The gray image is a code over GF(3) with n=261, k=8 and d=162.
This code was found by Heurico 1.16 in 0.08 seconds.