The generator matrix

 1  0  1  1  1  1 18  1  1  1 21  1  1  1  1  1  1  1 21 15  1  3  1
 0  1  1 26  7 18  1 17 25  3  1  4 20 23 21 24 26 19  1  1 26  3 21
 0  0 24  0  0 21 21 21  3 12 15  6  6  6 15  9 24 24 24  3 24  3  6
 0  0  0  9  0  9 18 18  9 18  0  0  0  9 18  9 18  9  9  0 18  0  0
 0  0  0  0  9  0 18 18 18  9 18  9 18 18 18  9  0  9  0  0  9  0 18

generates a code of length 23 over Z27 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+66x^37+156x^38+274x^39+840x^40+624x^41+2572x^42+3846x^43+5052x^44+8806x^45+11742x^46+8862x^47+8900x^48+5046x^49+1266x^50+516x^51+312x^52+78x^53+56x^54+18x^55+4x^57+8x^60+2x^63+2x^66

The gray image is a code over GF(3) with n=207, k=10 and d=111.
This code was found by Heurico 1.16 in 2.55 seconds.