The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  9  9  9 18  9 18  9 18  9  9  9 18  9
 0  0  9  0  0  0  0  9 18 18 18 18  9  0 18  0 18 18  9  9  0  9  9
 0  0  0  9  0  0  9 18  0 18 18  9  0  0 18  9  0 18 18  9 18 18 18
 0  0  0  0  9  0 18 18  9  0 18 18  9  0 18  0  9  0  0 18 18 18  9
 0  0  0  0  0  9 18 18 18 18  9  0  9  9 18  9 18 18  0  0  0  0 18

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

Homogenous weight enumerator: w(x)=1x^0+68x^36+114x^39+108x^42+486x^44+102x^45+4374x^46+972x^47+92x^48+108x^51+86x^54+26x^57+18x^60+4x^63+2x^66

The gray image is a code over GF(3) with n=207, k=8 and d=108.
This code was found by Heurico 1.16 in 0.0953 seconds.