The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  1  0 15  1  1  1  1  1  1  1  1
 0  1  1 26  0 25 17  1 18  1 25 23  1  1 24  9 17 20  8 25  8 19
 0  0 24  0  9  3 21  3 21  6 12 18 21  6 21 21 15  3 15 24 12 15
 0  0  0  3 15  9 15 15  9  0  6 15 21 21 12  6  3 21 15  3 24  6

generates a code of length 22 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+128x^36+174x^37+690x^38+800x^39+2658x^40+2484x^41+6002x^42+8424x^43+12096x^44+11512x^45+8556x^46+3522x^47+1054x^48+546x^49+144x^50+172x^51+54x^52+18x^53+14x^54

The gray image is a code over GF(3) with n=198, k=10 and d=108.
This code was found by Heurico 1.16 in 2.48 seconds.