The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  0  1  1  1  1
 0  3  0  0 21 24  3 15 24  0 18  9 21 15  3 24  3  3 21 24  6 24
 0  0  3 24  6  0  3 21 24  9 21  6 15 21 12  0 15  9 21 12 15  9
 0  0  0  9  0  0  9 18 18  0  0  9 18  9 18  9  9  9  0  0 18  0
 0  0  0  0  9  9 18 18  0 18 18 18  0 18 18  9  0 18  9  0  9  9

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

Homogenous weight enumerator: w(x)=1x^0+212x^36+96x^37+162x^38+554x^39+660x^40+252x^41+3194x^42+1620x^43+3456x^44+6002x^45+1722x^46+432x^47+680x^48+240x^49+72x^50+260x^51+36x^52+22x^54+8x^57+2x^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 0.534 seconds.