The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  1  1  0  1  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16 20  0 23  4  1 16  4  0
 0  0  9  0  0  0 18  9 18  9  9  9  9  9  9 18  9 18  0 18  0  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9 18  9  0 18  0  0  0  9
 0  0  0  0 18 18  0 18 18  9 18 18  9  0  0  9  0  9 18 18  0 18

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

Homogenous weight enumerator: w(x)=1x^0+58x^36+24x^37+234x^38+162x^39+732x^40+1044x^41+2746x^42+2736x^43+2106x^44+5230x^45+2766x^46+1440x^47+240x^48+60x^49+36x^50+40x^51+12x^54+12x^57+4x^60

The gray image is a code over GF(3) with n=198, k=9 and d=108.
This code was found by Heurico 1.16 in 0.292 seconds.