The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  3  1  1  3  3  3  1
 0  9  0  9  0  9 18 18 18  0  0  9  9  0  9 18 18 18  0  9  9  0  9  0  9 18 18 18  0
 0  0  9 18 18  9  0  9 18  0  9 18  9 18  0  0  9 18  9 18  9 18  0  0 18  0 18  9  9

generates a code of length 29 over Z27 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+54x^57+162x^58+12x^60+8x^63+6x^66

The gray image is a code over GF(3) with n=261, k=5 and d=171.
This code was found by Heurico 1.16 in 0.00466 seconds.