The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 3 0 9
0 3 24 9 21 6 18 12 15 0 21 24 9 12 6 18 21 3 24 12 6 3 3
generates a code of length 23 over Z27 who´s minimum homogenous weight is 45.
Homogenous weight enumerator: w(x)=1x^0+120x^45+54x^46+60x^48+6x^51+2x^54
The gray image is a code over GF(3) with n=207, k=5 and d=135.
This code was found by Heurico 1.16 in 0.00307 seconds.