The generator matrix

 1  0  1  1  1  1 18  1  1  1  1  1 21  1  3  1  1  1  3  3  1 21
 0  1  1 26  7 18  1 17 25 21 20 19  1 23  1  3 14 21  1 18 18  1
 0  0 24  0  0 21 21 21  3 15  6 18  9 15  3 21  3  6 12 21 12 24
 0  0  0  9  0  9 18 18  9  0  9  0  9  9  0  9  9  0  9  9  0  0
 0  0  0  0  9  0 18 18 18  0  9 18  0 18  9  9  0  9  9 18  9 18

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

Homogenous weight enumerator: w(x)=1x^0+180x^36+210x^37+600x^38+1154x^39+2808x^40+2556x^41+5464x^42+9870x^43+10758x^44+9366x^45+9924x^46+3414x^47+1904x^48+468x^49+162x^50+130x^51+48x^52+6x^53+20x^54+2x^57+4x^60

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 2.44 seconds.