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

generates a code of length 27 over Z27 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+304x^48+742x^51+972x^52+1682x^54+1944x^55+524x^57+338x^60+52x^63+2x^72

The gray image is a code over GF(3) with n=243, k=8 and d=144.
This code was found by Heurico 1.16 in 0.211 seconds.