The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  9  1  1 12  1  1  1  1  1
 0  1  0 15  9 16  1 14  2  1  7 26  1 12 10  0  8 19  3 17  6
 0  0  1 16 17 14  1 21 10 16  6  8 26 24 20  1 12  4  3 11 26

generates a code of length 21 over Z27 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+402x^37+726x^38+1588x^39+2046x^40+2712x^41+4194x^42+2940x^43+2670x^44+1574x^45+738x^46+36x^47+14x^48+30x^49+12x^50

The gray image is a code over GF(3) with n=189, k=9 and d=111.
This code was found by Heurico 1.16 in 0.219 seconds.