The generator matrix

 1  0  1  1  1  1  1  1 18  1 21  1  1  0  6  1  1  1  1  1  3  1  1 12 21  1  1
 0  1  1 26 18 17  0 25  1 20  1 21 20  1  1 19 21  6  5 11  1  6 24  1  1  5 26
 0  0 24  9 21 12  6  3  3 18  0  0 15  6 24 18 15  9 24  3 21 21 15  9 12 18 24

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

Homogenous weight enumerator: w(x)=1x^0+102x^49+252x^50+888x^51+528x^52+756x^53+1410x^54+822x^55+720x^56+840x^57+150x^58+36x^59+12x^61+18x^62+18x^63+6x^64+2x^72

The gray image is a code over GF(3) with n=243, k=8 and d=147.
This code was found by Heurico 1.16 in 0.0477 seconds.