The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  0  1  1  1  3  1  1  3
 0  3  0  0 18  0  9 21  3 24  6 12 24 24  6  3  3 24  0  9  3  3 15 12 21  3 18 21 18
 0  0  3  0 21  9 21 15 12 12 15 21  6 18 21 18  6 24  6  6 21 18 12 12 18  9 24  9 15
 0  0  0  3 15 15 21  6 18  9 15  6  3  0  3 15 18  0  9 24  6  6 24 12 21  3 21  9 12

generates a code of length 29 over Z27 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+318x^50+192x^51+768x^53+1202x^54+2376x^56+3056x^57+2916x^58+3816x^59+3048x^60+1050x^62+372x^63+360x^65+110x^66+60x^68+36x^69+2x^75

The gray image is a code over GF(3) with n=261, k=9 and d=150.
This code was found by Heurico 1.16 in 0.74 seconds.