The generator matrix

 1  0  1  1  1  1  1  0  1  3  1  1  1  1  1  1  1 24  1  1  1 15  1  1  1 24  1  1
 0  1  1 26 16 21 17  1 18  1 25 20 15 20 21 23 21  1 25  4 13  1  2 20  7  1 25 17
 0  0 24  0 18 18 21 15  3  3 12 15 21  9 15 15 24 18 12 24  9  3  3  9  9  6 18 12
 0  0  0  9 18  9 18  0 18 18  0  9  0 18 18  0  9 18  9 18  9  9  9  0  0 18  9  0

generates a code of length 28 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+108x^49+300x^50+386x^51+942x^52+1224x^53+2160x^54+2442x^55+3156x^56+3938x^57+2460x^58+1464x^59+532x^60+300x^61+162x^62+24x^63+60x^64+12x^65+4x^66+6x^67+2x^72

The gray image is a code over GF(3) with n=252, k=9 and d=147.
This code was found by Heurico 1.16 in 0.417 seconds.