The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  0  3  3  0  3  3  9  3  3  9  3  1  1  3  3  3
 0  3 24  0 21 24  9 21  6  9 12  6  9  0 12  3 24  6 18 18 21 12 15 15 18  3 15 21 24  3 21 24  3 12  6  3 12  6  3  6  0 21 21 12 24
 0  0  9  9 18 18 18  9  0  9  0  9  0 18  9 18  0 18  0  9  0 18  9 18 18  9  0 18  0  9  9  9  0  0 18 18  9  9  9  0  0 18  0 18 18

generates a code of length 45 over Z27 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+80x^87+150x^88+276x^90+132x^91+6x^93+42x^94+36x^96+4x^105+2x^108

The gray image is a code over GF(3) with n=405, k=6 and d=261.
This code was found by Heurico 1.16 in 0.0316 seconds.