The generator matrix

 1  0  1  1  1  1  1  0  1  3  1  1  1 15  1  1  1  1  1  1  1
 0  1  1 26 16 21 17  1 18  1 25 23 15  1  4 20  0 20 25 20  2
 0  0 24  0 18 18 21 15  3  3 21  6  3 12 15  9  6  6 21 15  9
 0  0  0  9 18  9 18  0 18  0  9  0  0 18  9 18  0  9  0 18  9

generates a code of length 21 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+226x^36+306x^37+792x^38+956x^39+2166x^40+2700x^41+4116x^42+3870x^43+2754x^44+1118x^45+414x^46+72x^47+130x^48+48x^49+12x^51+2x^54

The gray image is a code over GF(3) with n=189, k=9 and d=108.
This code was found by Heurico 1.16 in 0.299 seconds.