The generator matrix

 1  0  1  1  1  1  1 21 24  1  1  1  1  1  0 21  1  1  1  1  9 12  3  1  1  9
 0  1  7 26  4 21 20  1  1  0 16 23 26 20  1  1 21 12  9  5  1  1 15 16 19  1
 0  0  9  0 18 18  9 18  9  9  0 18  9 18  9  0  9  0 18  0 18  9  9 18  0  0

generates a code of length 26 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+426x^49+312x^50+10x^51+558x^52+396x^53+8x^54+414x^55+36x^56+6x^57+6x^58+12x^59+2x^60

The gray image is a code over GF(3) with n=234, k=7 and d=147.
This code was found by Heurico 1.16 in 5.47 seconds.