The generator matrix

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

generates a code of length 23 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+176x^39+456x^42+486x^44+490x^45+2916x^46+972x^47+704x^48+276x^51+54x^54+20x^57+6x^60+4x^63

The gray image is a code over GF(3) with n=207, k=8 and d=117.
This code was found by Heurico 1.16 in 0.0757 seconds.