The generator matrix

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

generates a code of length 27 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+72x^49+114x^50+92x^51+276x^52+246x^53+558x^54+366x^55+258x^56+60x^57+60x^58+18x^59+10x^60+18x^61+12x^62+6x^63+18x^64+2x^72

The gray image is a code over GF(3) with n=243, k=7 and d=147.
This code was found by Heurico 1.16 in 0.0133 seconds.