The generator matrix

 1  0  1  1  1  1  1 18  1  1  0  1  1 15  1  1  1  1  1 24  1  1  1  6  1  1  1  6  1
 0  1  1 26  0 25 17  1  3 19  1 23 19  1 23 24 15 19 14  1  0 14 25  1 18 17 22  1 26
 0  0 24  0  9  0 15 21 24 18 24 15  6 21 12  3 18  0  3 24  6 15 21  6  3 18  3 21  9
 0  0  0  3 15 12 21 15  3  6  6 18  6 18 12 12 21 18 15 18 15 24 15 21  9  9  0 21 24

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

Homogenous weight enumerator: w(x)=1x^0+348x^50+288x^51+540x^52+2082x^53+2192x^54+3240x^55+6342x^56+6828x^57+10854x^58+11256x^59+6732x^60+4320x^61+2904x^62+552x^63+318x^65+156x^66+78x^68+18x^69

The gray image is a code over GF(3) with n=261, k=10 and d=150.
This code was found by Heurico 1.16 in 3.99 seconds.