The generator matrix

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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+80x^36+30x^37+90x^38+226x^39+768x^40+144x^41+2074x^42+4188x^43+7704x^44+6850x^45+8286x^46+14976x^47+6922x^48+5550x^49+342x^50+490x^51+132x^52+72x^53+60x^54+34x^57+28x^60+2x^63

The gray image is a code over GF(3) with n=207, k=10 and d=108.
This code was found by Heurico 1.16 in 2.76 seconds.