The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^36+474x^39+162x^40+1012x^42+972x^43+2916x^44+1904x^45+1944x^46+5832x^47+2010x^48+1296x^49+862x^51+136x^54+54x^57+16x^60

The gray image is a code over GF(3) with n=207, k=9 and d=108.
This code was found by Heurico 1.16 in 0.581 seconds.